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Stepanov Vladimir Dmitrievich
(full list of publications)
| by years | scientific publications | by types |



   2017
1. Dmitrii V. Prokhorov, Vladimir D. Stepanov, Elena P. Ushakova, “On associate spaces of weighted Sobolev space on the real line”, Math. Nachr., 290:5 (2017), 890–912  mathnet  crossref  isi  elib  scopus (cited: 2)
2. V. D. Stepanov, G. E. Shambilova, “On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions”, Eurasian Math. J., 8:2 (2017), 47–73  mathnet

   2016
3. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “On weighted Sobolev spaces on the real line”, Dokl. Math., 93:1 (2016), 78–81  mathnet  crossref  crossref  zmath  isi (cited: 1)  elib  elib  scopus (cited: 2)
4. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators”, Sovrem. Probl. Mat., 22, Steklov Math. Institute of RAS, Moscow, 2016, 3–185 , 186 pp.  mathnet  crossref  elib
5. D. V. Prokhorov, V. D. Stepanov, “Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces”, Sb. Math., 207:8 (2016), 1159–1186  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  elib  scopus (cited: 4)
6. V. D. Stepanov, G. E. Shambilova, “Boundedness of quasilinear integral operators on the cone of monotone functions”, Siberian Math. J., 57:5 (2016), 884–904  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 2)
7. Lars-Erik Persson, Guldarya E. Shambilova, Vladimir D. Stepanov, “Weighted Hardy type inequalities for supremum operators on the cones of monotone functions”, J. Inequal. Appl., 2016:237 (2016)  mathnet  crossref

   2015
8. V. D. Stepanov, “On Optimal Banach Spaces Containing a Weight Cone of Monotone or Quasiconcave Functions”, Math. Notes, 98:6 (2015), 957–970  mathnet  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
9. L.-E. Persson, G. E. Shambilova, V. D. Stepanov, “Hardy-type inequalities on the weighted cones of quasi-concave functions”, Banach J. Math. Anal., 9:2 (2015), 21–34  mathnet (cited: 2)  crossref  mathscinet (cited: 2)  zmath  isi (cited: 7)  elib (cited: 7)  scopus (cited: 9)
10. Simon P. Eveson, Vladimir D. Stepanov, Elena P. Ushakova, “A duality principle in weighted Sobolev spaces on the real line”, Math. Nachr., 288:8 (2015), 877–897  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus
11. V. D. Stepanov, “On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions”, Dokl. Math., 92:2 (2015), 545–547  mathnet  crossref  crossref  zmath  isi (cited: 1)  elib  elib  scopus

   2014
12. D. V. Prokhorov, V. D. Stepanov, “Estimates for a class of sublinear integral operators”, Dokl. Math., 89:3 (2014), 372–377  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 5)
13. L. Persson-E., O. V. Popova, V. D. Stepanov, “Weighted Hardy-type inequalities on the cone of quasi-concave functions”, Math. Inequal. Appl., 17:3 (2014), 879–898  mathnet  crossref  mathscinet (cited: 2)  zmath  isi (cited: 4)  scopus (cited: 4)
14. A. Gogatishvili, L. Persson-Erik, V. D. Stepanov, P. Wall, “Some scales of equivalent conditions to characterize the Stieltjes inequality: the case $q<p$”, Math. Nachr., 287:2-3 (2014), 242–253  mathnet  crossref  mathscinet (cited: 2)  zmath  isi (cited: 2)  elib  scopus (cited: 2)
15. V. D. Stepanov. G. E. Shambilova, “Weight boundedness of a class of quasilinear operators on the cone of monotone functions”, Dokl. Math., 90:2 (2014), 569–572  crossref  crossref  zmath  isi (cited: 4)  elib  scopus (cited: 2)

   2013
16. A. Gogatishvili, V. D. Stepanov, “Reduction theorems for weighted integral inequalities on the cone of monotone functions”, Russian Math. Surveys, 68:4 (2013), 597–664  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 19)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 14)
17. D. V. Prokhorov, V. D. Stepanov, “On weighted Hardy inequalities in mixed norms”, Proc. Steklov Inst. Math., 283 (2013), 149–164  mathnet  crossref  crossref  isi (cited: 12)  elib
18. D. V. Prokhorov, V. D. Stepanov, “Weighted estimates for a class of sublinear operators”, Dokl. Math., 88:3 (2013), 721–23  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 9)
19. A. Gogatishvili, V. D. Stepanov, “Reduction theorems for operators on the cones of monotone functions”, J. Math. Anal. Appl., 405:1 (2013), 156–172  mathnet  crossref  mathscinet (cited: 9)  zmath  isi (cited: 13)  elib (cited: 11)  scopus (cited: 13)

   2012
20. A. Gogatishvili, L.-E. Persson, V. D. Stepanov, P. Wall, “On scales of equivalent conditions characterizing weighted Stieltjes inequality”, Dokl. Math., 86:3 (2012), 738–739  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  isi (cited: 3)  scopus (cited: 3)
21. A. Gogatishvili, V. D. Stepanov, “Integral operators on cones of monotone functions”, Dokl. Math., 86:2 (2012), 650–653  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)
22. A. Gogatishvili, V. D. Stepanov, “Operators on cones of monotone functions”, Dokl. Math., 86:1 (2012), 562–565  mathnet  crossref  mathscinet  zmath  zmath  isi (cited: 5)  scopus (cited: 5)
23. V. D. Stepanov, “On a supremum operator”, Spectral theory, function spaces and inequalities, Oper. Theory Adv. Appl., 219, Birkhäuser/Springer Basel AG, Basel, 2012, 233–242  mathscinet (cited: 5)  zmath

   2011
24. D. V. Prokhorov, V. D. Stepanov, “On supremum operators”, Dokl. Akad. Nauk, 439:1 (2011), 28–29  mathscinet (cited: 3)  zmath
25. V. D. Stepanov, S. Yu. Tikhonov, “Two power-weight inequalities for the Hilbert transform on the cones of monotone functions”, Complex Var. Elliptic Equ., 56:10-11 (2011), 1039–1047  crossref  mathscinet (cited: 1)  zmath  isi (cited: 3)  elib (cited: 4)  scopus (cited: 3)
26. V. D. Stepanov, S. Yu. Tikhonov, “Two-weight inequalities for the Hilbert transform on monotone functions”, Dokl. Akad. Nauk, 437:5 (2011), 606–608  mathscinet  zmath

   2010
27. L. Persson-Erik, O. V. Popova, V. D. Stepanov, “Two-sided Hardy-type inequalities for monotone functions”, Complex Var. Elliptic Equ., 55:8-10 (2010), 973–989  crossref  mathscinet (cited: 4)  zmath  isi (cited: 5)  scopus (cited: 5)
28. V. D. Stepanov, E. P. Ushakova, “Kernel operators with variable intervals of integration in Lebesgue spaces and applications”, Math. Inequal. Appl., 13:3 (2010), 449–510  mathscinet (cited: 9)  zmath  isi (cited: 18)  elib (cited: 25)  scopus (cited: 21)
29. V. D. Stepanov, E. P. Ushakova, “On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces”, Banach J. Math. Anal., 4:1 (2010), 28–52  crossref  mathscinet (cited: 4)  zmath  isi (cited: 6)  elib (cited: 7)  scopus (cited: 7)

   2009
30. V. D. Stepanov, L.-E. Persson, O. V. Popova, “Two-sided hardy-type inequalities for monotone functions”, Dokl. Math., 80:3 (2009), 814–817  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
31. V. D. Stepanov, “Sharp two-sided estimates of the approximation and entropy numbers of integral operators on the semiaxis”, East J. Approx., 15:3 (2009), 329–343  mathscinet
32. V. D. Stepanov, E. P. Ushakova, “Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces”, Math. Inequal. Appl., 12:4 (2009), 873–889  mathscinet (cited: 4)  zmath  isi (cited: 7)  elib (cited: 9)  scopus (cited: 8)

   2008
33. V. D. Stepanov, E. P. Ushakova, “On the Geometric Mean Operator with Variable Limits of Integration”, Proc. Steklov Inst. Math., 260 (2008), 254–278  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 9)
34. V. D. Stepanov, E. P. Ushakova, “Weighted estimates for the norms of operators with two variable limits of integration”, Dokl. Akad. Nauk, 421:3 (2008), 318–320  mathnet  mathscinet  zmath
35. M. Johansson, V. D. Stepanov, E. P. Ushakova, “Hardy inequality with three measures on monotone functions”, Math. Inequal. Appl., 11:3 (2008), 393–413  mathscinet (cited: 9)  zmath  isi (cited: 14)  elib (cited: 16)  scopus (cited: 15)
36. V. D. Stepanov, “An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives”, Proc. Amer. Math. Soc., 136:5 (2008), 1589–1597  crossref  mathscinet (cited: 2)  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2007
37. L. Persson-Erik, V. Stepanov, P. Wall, “Some scales of equivalent weight characterizations of Hardy's inequality: the case $q<p$”, Math. Inequal. Appl., 10:2 (2007), 267–279  mathscinet (cited: 6)  zmath  isi (cited: 11)  scopus (cited: 13)

   2006
38. E. N. Lomakina, V. D. Stepanov, “Asimptoticheskie otsenki approksimativnykh i entropiinykh chisel odnovesovogo operatora Rimana — Liuvillya”, Matem. tr., 9:1 (2006), 52–100  mathnet (cited: 15)  mathscinet (cited: 3)  elib (cited: 13); E. N. Lomakina, V. D. Stepanov, “Asymptotic Estimates for the Approximation and Entropy Numbers of a One-Weight Riemann–Liouville Operator”, Siberian Adv. Math., 17:1 (2007), 1–36  crossref  mathscinet
39. L. Persson-E., V. D. Stepanov, E. P. Ushakova, “Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions”, Proc. Amer. Math. Soc., 134:8 (2006), 2363–2372  crossref  mathscinet (cited: 11)  zmath  isi (cited: 16)  scopus (cited: 16)

   2005
40. V. D. Stepanov, “An Extremal Property of Chebyshev Polynomials”, Proc. Steklov Inst. Math., 248 (2005), 230–242  mathnet  mathscinet  zmath
41. V. D. Stepanov, “On an extremal property of classical orthogonal polynomials”, Dokl. Akad. Nauk, 403:4 (2005), 452–454  mathnet  mathscinet  zmath  scopus
42. E. N. Lomakina, V. D. Stepanov, “Asymptotic estimates for the approximation and entropy numbers of the one-weight Riemann-Liouville operator”, Dokl. Akad. Nauk, 403:5 (2005), 598–599  mathnet  mathscinet  zmath  scopus
43. L. E. Persson, V. D. Stepanov, E. P. Ushakova, “On integral operators with monotone kernels”, Dokl. Akad. Nauk, 403:1 (2005), 11–14  mathnet (cited: 1)  mathscinet (cited: 2)  zmath  scopus

   2004
44. V. D. Stepanov, E. P. Ushakova, “Weighted estimates for the integral operators with monotone kernel on a half-axis”, Siberian Math. J., 45:6 (2004), 1124–1134  mathnet  crossref  mathscinet  zmath  isi (cited: 8)

   2003
45. V. D. Stepanov, A. M. Khludnev, “The method of fictitious domains in the Signorini problem”, Siberian Math. J., 44:6 (2003), 1061–1074  mathnet  crossref  mathscinet  zmath  isi (cited: 3)
46. D. V. Prokhorov, V. D. Stepanov, “Weighted Estimates for the Riemann–Liouville Operators and Applications”, Proc. Steklov Inst. Math., 243 (2003), 278–301  mathnet  mathscinet  zmath
47. V. D. Stepanov, A. M. Khludnev, “The fictitious domain method in the Signorini problem”, Dokl. Akad. Nauk, 392:1 (2003), 17–20  mathnet (cited: 1)  mathscinet  zmath
48. V. D. Stepanov, E. P. Ushakova, “On integral operators with a variable domain of integration”, Dokl. Akad. Nauk, 393:5 (2003), 600–604  mathnet  mathscinet  scopus
49. V. D. Stepanov, E. P. Ushakova, “Hardy operator with variable limits on monotone functions”, J. Funct. Spaces Appl., 1:1 (2003), 1–15  crossref  mathscinet (cited: 9)  zmath

   2002
50. D. V. Prokhorov, V. D. Stepanov, “On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis”, Siberian Math. J., 43:4 (2002), 694–707  mathnet  crossref  mathscinet  zmath  isi (cited: 1)
51. D. V. Prokhorov, V. D. Stepanov, “On Riemann-Liouville operators”, Dokl. Akad. Nauk, 382:4 (2002), 452–455  mathnet (cited: 3)  mathscinet (cited: 2)  zmath
52. L. Persson-Erik, V. D. Stepanov, “Weighted integral inequalities with the geometric mean operator”, J. Inequal. Appl., 7:5 (2002), 727–746  mathscinet (cited: 24)  zmath  isi (cited: 32)  scopus (cited: 40)
53. M. Nassyrova, L. Persson-Erik, V. Stepanov, “On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform”, JIPAM. J. Inequal. Pure Appl. Math., 3:4 (2002), Article 48, 16 pp. (electronic)  mathscinet (cited: 6)

   2001
54. V. D. Stepanov, E. P. Ushakova, “On Integral Operators with Variable Limits of Integration”, Proc. Steklov Inst. Math., 232 (2001), 290–309  mathnet  mathscinet  zmath
55. L. E. Persson, V. D. Stepanov, “Weighted integral inequalities with a geometric mean”, Dokl. Akad. Nauk, 377:4 (2001), 439–440  mathnet  mathscinet (cited: 1)  zmath
56. M. Carro, L. Pick, J. Soria, V. D. Stepanov, “On embeddings between classical Lorentz spaces”, Math. Inequal. Appl., 4:3 (2001), 397–428  mathscinet (cited: 69)  zmath  isi (cited: 83)  scopus (cited: 86)
57. S. Barza, L. Persson-Erik, V. D. Stepanov, “On weighted multidimensional embeddings for monotone functions”, Math. Scand., 88:2 (2001), 303–319  mathscinet (cited: 5)  zmath  isi (cited: 4)  scopus (cited: 7)

   2000
58. V. D. Stepanov, Nekotorye voprosy teorii integralnykh operatorov svertki, Dal'nauka, Vladivostok, 2000 , 228 pp.  mathscinet (cited: 2)
59. E. N. Lomakina, V. D. Stepanov, “On asymptotic behaviour of the approximation numbers and estimates of Schatten-von Neumann norms of the Hardy-type integral operators”, Function spaces and applications (1997, Delhi), Narosa, New Delhi, 2000, 153–187  mathscinet (cited: 13)  zmath
60. V. D. Stepanov, “On the lower bounds for Schatten-von Neumann norms of certain Volterra integral operators”, J. London Math. Soc. (2), 61:3 (2000), 905–922  crossref  mathscinet (cited: 9)  zmath  isi (cited: 10)  scopus (cited: 9)

   1999
61. M. Nasyrova, V. Stepanov, “On maximal overdetermined Hardy's inequality of second order on a finite interval”, Math. Bohem., 124:2-3 (1999), 293–302  mathscinet (cited: 2)  zmath
62. E. N. Lomakina, V. D. Stepanov, “Asymptotic behavior of approximation numbers, and estimates for Schatten-von Neumann norms of the Hardy integral operator”, Dokl. Akad. Nauk, 367:5 (1999), 594–596  mathnet (cited: 2)  mathscinet (cited: 2)  zmath  isi (cited: 2)  scopus (cited: 2)

   1998
63. E. N. Lomakina, V. D. Stepanov, “On Hardy-type operators in Banach function spaces on the half-axis”, Dokl. Akad. Nauk, 359:1 (1998), 21–23  mathnet (cited: 2)  mathscinet (cited: 2)  zmath  isi (cited: 4)  scopus (cited: 4)
64. E. Lomakina, V. Stepanov, “On the Hardy-type integral operators in Banach function spaces”, Publ. Mat., 42:1 (1998), 165–194  crossref  mathscinet (cited: 18)  zmath

   1997
65. M. Nasyrova, V. Stepanov, “On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints”, J. Inequal. Appl., 1:3 (1997), 223–238  mathscinet (cited: 2)  zmath  isi (cited: 2)
66. V. D. Stepanov, “On the structure of certain class of Volterra integral operators and estimates of approximation numbers”, Recent topics in operator theory concerning the structure of operators (Japanese) (Kyoto, 1996), Sūrikaisekikenkyūsho Kōkyūroku, 1997, no. 979, 34–41  mathscinet  zmath

   1996
67. M. L. Gol'dman, H. P. Heinig, V. D. Stepanov, “On the principle of duality in Lorentz spaces”, Canad. J. Math., 48:5 (1996), 959–979  crossref  mathscinet (cited: 36)  zmath  isi (cited: 47)  scopus (cited: 44)
68. G. Sinnamon, V. D. Stepanov, “The weighted Hardy inequality: new proofs and the case $p=1$”, J. London Math. Soc. (2), 54:1 (1996), 89–101  crossref  mathscinet (cited: 67)  zmath  scopus (cited: 84)
69. E. Lomakina, V. Stepanov, “On the compactness and approximation numbers of Hardy-type integral operators in Lorentz spaces”, J. London Math. Soc. (2), 53:2 (1996), 369–382  crossref  mathscinet (cited: 3)  zmath  scopus (cited: 7)

   1995
70. M. L. Gol'dman, V. D. Stepanov, H. P. Heinig, “On the principle of duality in Lorentz spaces”, Dokl. Math., 52:2 (1995), 264–267  mathnet  mathscinet  zmath
71. D. E. Edmunds, V. D. Stepanov, “On the singular numbers of certain Volterra integral operators”, J. Funct. Anal., 134:1 (1995), 222–246  crossref  mathscinet (cited: 10)  zmath  isi (cited: 12)  scopus (cited: 11)

   1994
72. V. D. Stepanov, “On the singular numbers of a class of integral operators”, Dokl. Math., 49:3 (1994), 545–547  mathnet  mathscinet  zmath
73. V. D. Stepanov, “Weighted norm inequalities for integral operators and related topics”, Nonlinear analysis, function spaces and applications, Vol. 5 (Prague, 1994), Prometheus, Prague, 1994, 139–175  mathscinet (cited: 19)  zmath
74. E. A. Myasnikov, L. E. Persson, V. D. Stepanov, “On the best constants in certain integral inequalities for monotone functions”, Acta Sci. Math. (Szeged), 59:3-4 (1994), 613–624  mathscinet (cited: 10)  zmath
75. M. Sh. Braverman, V. D. Stepanov, “On the discrete Hardy inequality”, Bull. London Math. Soc., 26:3 (1994), 283–287  crossref  mathscinet (cited: 3)  zmath  isi (cited: 4)
76. V. D. Stepanov, “Weighted norm inequalities of Hardy type for a class of integral operators”, J. London Math. Soc. (2), 50:1 (1994), 105–120  crossref  mathscinet (cited: 31)  zmath
77. D. E. Edmunds, V. D. Stepanov, “The measure of noncompactness and approximation numbers of certain Volterra integral operators”, Math. Ann., 298:1 (1994), 41–66  crossref  mathscinet (cited: 10)  zmath  isi (cited: 13)  scopus (cited: 12)

   1993
78. V. D. Stepanov, D. E. Edmunds, “On the measure of noncompactness and approximation numbers of a class of Volterra integral operators”, Dokl. Math., 47:3 (1993), 618–623  mathnet  mathscinet  zmath
79. V. D. Stepanov, “On weighted estimates for a class of integral operators”, Siberian Math. J., 34:4 (1993), 755–766  mathnet  crossref  mathscinet  zmath  isi (cited: 3)
80. V. D. Stepanov, “Integral operators on the cone of monotone functions”, J. London Math. Soc. (2), 48:3 (1993), 465–487  crossref  mathscinet (cited: 26)  zmath
81. H. P. Heinig, V. D. Stepanov, “Weighted Hardy inequalities for increasing functions”, Canad. J. Math., 45:1 (1993), 104–116  crossref  mathscinet (cited: 12)  zmath  isi (cited: 22)
82. V. D. Stepanov, “The weighted Hardy's inequality for nonincreasing functions”, Trans. Amer. Math. Soc., 338:1 (1993), 173–186  mathscinet (cited: 55)  zmath  isi (cited: 86)

   1992
83. V. D. Stepanov, “Weighted inequalities for a class of Volterra convolution operators”, J. London Math. Soc. (2), 45:2 (1992), 232–242  crossref  mathscinet (cited: 15)  zmath

   1991
84. V. D. Stepanov, “On the boundedness of linear integral operators on a class of monotone functions”, Sibirsk. Mat. Zh., 32:3 (1991), 222–224  mathscinet (cited: 3)  zmath
85. V. D. Stepanov, “Integral operators on the cone of monotone functions and embeddings of Lorentz spaces”, Dokl. Akad. Nauk SSSR, 317:6 (1991), 1308–1311  mathnet (cited: 1)  mathscinet (cited: 4)  zmath  isi (cited: 4)

   1990
86. V. D. Stepanov, “Dvukhvesovye otsenki integralov Rimana–Liuvillya”, Izv. AN SSSR. Ser. matem., 54:3 (1990), 645–656  mathnet (cited: 16)  mathscinet (cited: 26)  zmath  adsnasa; V. D. Stepanov, “Two-weighted estimates of Riemann–Liouville integrals”, Math. USSR-Izv., 36:3 (1991), 669–681  crossref  mathscinet  zmath
87. V. D. Stepanov, “Weighted inequalities of Hardy type for Riemann-Liouville fractional integrals”, Sibirsk. Mat. Zh., 31:3 (1990), 186–197, 219  mathscinet (cited: 4)  zmath
88. V. D. Stepanov, “On the boundedness and compactness of a class of integral operators”, Dokl. Akad. Nauk SSSR, 312:3 (1990), 544–546  mathnet  mathscinet (cited: 2)  zmath  isi (cited: 4)

   1989
89. V. D. Stepanov, “Ob odnom vesovom neravenstve tipa Khardi dlya proizvodnykh vysshikh poryadkov”, Issledovaniya po teorii differentsiruemykh funktsii mnogikh peremennykh i ee prilozheniyam. Chast 13, Sbornik rabot, Tr. MIAN SSSR, 187, Nauka, M., 1989, 178–190  mathnet (cited: 4)  mathscinet (cited: 4)  zmath; V. D. Stepanov, “On one weighted inequality of Hardy type for higher derivatives”, Proc. Steklov Inst. Math., 187 (1990), 205–220  mathscinet  zmath
90. V. D. Stepanov, “Multipliers of Fourier integrals generated by characteristic functions of sets of the real axis”, Sibirsk. Mat. Zh., 30:3 (1989), 140–149, 219  mathscinet  zmath
91. {. N. Batuev, V. D. Stepanov, “Weighted inequalities of Hardy type”, Sibirsk. Mat. Zh., 30:1 (1989), 13–22  mathscinet (cited: 11)  zmath

   1988
92. V. D. Stepanov, “Weighted inequalities of Hardy type for higher-order derivatives and their applications”, Dokl. Akad. Nauk SSSR, 302:5 (1988), 1059–1062  mathnet (cited: 2)  mathscinet (cited: 4)  isi (cited: 3)
93. V. D. Stepanov, “Multipliers of Fourier integrals generated by characteristic functions of sets”, Dokl. Akad. Nauk SSSR, 299:5 (1988), 1068–1070  mathnet  mathscinet  zmath  isi

   1987
94. V. D. Stepanov, “On the weighted Hardy inequality”, Sibirsk. Mat. Zh., 28:3 (1987), 205–207, 225  mathscinet (cited: 2)  zmath

   1984
95. V. D. Stepanov, “Ob ischezanii simvola integralnogo operatora svertki”, Matem. sb., 123(165):2 (1984), 243–257  mathnet (cited: 1)  mathscinet  zmath; V. D. Stepanov, “On the vanishing of the symbol of a convolution integral operator”, Math. USSR-Sb., 51:1 (1985), 239–253  crossref  mathscinet  zmath
96. V. D. Stepanov, “On a problem of Halmos and Sunder”, Dokl. Akad. Nauk SSSR, 278:2 (1984), 296–298  mathnet (cited: 1)  mathscinet (cited: 1)  zmath  isi (cited: 2)

   1983
97. V. D. Stepanov, “Ob odnoi zadache dlya integralnykh operatorov svertki”, Matem. sb., 120(162):2 (1983), 216–226  mathnet (cited: 3)  mathscinet  zmath; V. D. Stepanov, “On a problem for integral convolution operators”, Math. USSR-Sb., 48:1 (1984), 211–221  crossref  mathscinet  zmath
98. V. D. Stepanov, “Kharakteristicheskie svoistva integralnykh operatorov svertki”, Issledovaniya po teorii differentsiruemykh funktsii mnogikh peremennykh i ee prilozheniyam. Chast 9, Sbornik statei, Tr. MIAN SSSR, 161, 1983, 217–226  mathnet (cited: 1)  mathscinet  zmath; V. D. Stepanov, “Characteristic properties of convolution integral operators”, Proc. Steklov Inst. Math., 161 (1984), 241–250  mathscinet  zmath

   1982
99. V. D. Stepanov, “Periodic multipliers of Fourier integrals”, Math. Notes, 32:2 (1982), 551–556  mathnet  crossref  mathscinet  zmath  isi
100. V. D. Stepanov, “An integral convolution operator with a narrow interval of action”, Analytic methods in the theory of elliptic equations, “Nauka” Sibirsk. Otdel., Novosibirsk, 1982, 88–107  mathscinet
101. V. D. Stepanov, “On a criterion of approximation to the identity in $L^{p}(E_{n})$ by convolution transforms of dilation type”, Anal. Math., 8:3 (1982), 233–238  crossref  mathscinet  zmath  scopus
102. V. B. Korotkov, V. D. Stepanov, “Criteria for the generation of integral operators by measurable functions”, Sibirsk. Mat. Zh., 23:2 (1982), 199–203, 218  mathscinet (cited: 1)  zmath
103. V. D. Stepanov, “On an integral convolution operator”, Sibirsk. Mat. Zh., 23:2 (1982), 135–149, 217  mathscinet  zmath

   1981
104. V. D. Stepanov, “On multipliers of Fourier integrals”, Dokl. Akad. Nauk SSSR, 258:5 (1981), 1063–1065  mathscinet  zmath  isi
105. V. D. Stepanov, “Characteristic properties of convolution integral operators”, Dokl. Akad. Nauk SSSR, 260:4 (1981), 806–808  mathscinet  zmath  isi (cited: 2)

   1980
106. V. D. Stepanov, “Multipliers generated by hypoelliptic expressions”, Theory of cubature formulas and numerical mathematics (1978, Proc. Conf., Novosibirsk), “Nauka” Sibirsk. Otdel., Novosibirsk, 1980, 234–236, 256  mathscinet

   1979
107. V. B. Korotkov, V. D. Stepanov, “Some properties of integral operators of convolution”, Application of the methods of functional analysis to problems of mathematical physics and numerical analysis (Russian), Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1979, 64–68  mathscinet (cited: 5)

   1978
108. V. D. Stepanov, “Absolute summability of the Fourier transform of functions of several variables”, Theory of cubature formulas and the application of functional analysis to problems of mathematical physics (Russian), Trudy Sem. S. L. Soboleva, No. 1, 1978, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1978, 116–121, 167  mathscinet (cited: 1)
109. V. D. Stepanov, “Convolution integral operators”, Dokl. Akad. Nauk SSSR, 243:1 (1978), 45–48  mathscinet (cited: 2)  zmath

   1976
110. V. D. Stepanov, Differ. Uravn., 12:1 (1976), 129–136  mathnet  mathscinet  zmath

   1974
111. V. D. Stepanov, “Operators in the spaces $L_{p}(R_{n})$ that commute with shifts”, Sibirsk. Mat. Ž., 15 (1974), 693–699, 704  mathscinet  zmath
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