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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  mathscinet  isi (cited: 2)  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  mathscinet  isi  scopus
3. V. D. Stepanov, G. È. Shambilova, “On bilinear weighted inequalities on the cone of nondecreasing functions”, Dokl. Math., 96:3 (2017), 631–635  mathnet  crossref  crossref  isi  elib  scopus
4. V. D. Stepanov, G. È. Shambilova, “Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions”, Dokl. Math., 96:1 (2017), 315–320  mathnet  crossref  crossref  zmath  isi (cited: 1)  elib  elib  scopus (cited: 1)

   2016
5. 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  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus (cited: 2)

   2018
6. D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators”, Proc. Steklov Inst. Math., 300, suppl. 2 (2018), 1–112  mathnet  crossref  crossref  isi  elib  scopus

   2016
7. 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  adsnasa  isi (cited: 6)  elib  elib  scopus (cited: 5)
8. 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  mathscinet  isi (cited: 2)  elib  elib  scopus (cited: 2)
9. 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  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
10. V. D. Stepanov, G. È. Shambilova, “Boundedness of a class of quasilinear operators on the cone of monotone functions”, Dokl. Math., 94:3 (2016), 697–702  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 2)

   2015
11. 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 (cited: 3)  elib  scopus (cited: 1)
12. 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: 3)  zmath  isi (cited: 8)  elib (cited: 7)  scopus (cited: 9)
13. 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 (cited: 1)  zmath  isi (cited: 3)  elib (cited: 2)  scopus (cited: 3)
14. 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  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus

   2014
15. 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: 9)  scopus (cited: 6)
16. 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)
17. 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: 4)  zmath  isi (cited: 5)  elib  scopus (cited: 4)
18. 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  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib  scopus (cited: 3)

   2013
19. 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: 27)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 18)
20. D. V. Prokhorov, V. D. Stepanov, “On weighted Hardy inequalities in mixed norms”, Proc. Steklov Inst. Math., 283 (2013), 149–164  mathnet  crossref  crossref  mathscinet  isi (cited: 17)  elib
21. 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: 13)  scopus (cited: 10)
22. 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: 15)  zmath  isi (cited: 17)  elib (cited: 11)  scopus (cited: 17)

   2012
23. 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: 4)  scopus (cited: 3)
24. 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: 4)  scopus (cited: 3)
25. 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: 6)  scopus (cited: 5)
26. 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  scopus (cited: 4)

   2011
27. Doklady Mathematics, 84:1 (2011), 457–458  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 2)
28. 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: 4)
29. Doklady Mathematics, 83:2 (2011), 241–242  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

   2010
30. 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)
31. 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: 12)  zmath  isi (cited: 21)  elib (cited: 25)  scopus (cited: 22)
32. 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: 7)  elib (cited: 7)  scopus (cited: 7)

   2009
33. 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)
34. 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
35. 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: 8)  elib (cited: 9)  scopus (cited: 9)

   2008
36. 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: 9)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 10)
37. Dokl. Math., 78:1 (2008), 541–543  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
38. 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: 10)  zmath  isi (cited: 15)  elib (cited: 16)  scopus (cited: 15)
39. 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
40. 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: 7)  zmath  isi (cited: 12)  scopus (cited: 13)
41. 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  mathnet  crossref  mathscinet  mathscinet  elib

   2006
42. 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: 12)  zmath  isi (cited: 16)  scopus (cited: 16)

   2005
43. V. D. Stepanov, “An Extremal Property of Chebyshev Polynomials”, Proc. Steklov Inst. Math., 248 (2005), 230–242  mathnet  mathscinet  zmath
44. Dokl. Math., 72:1 (2005), 555-557  mathnet  mathscinet  zmath  isi  scopus  scopus
45. Dokl. Math., 72:1 (2005), 574–575  mathnet  mathscinet  zmath  isi  scopus  scopus
46. Dokl. Math., 72:1 (2005), 491–494  mathnet  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)  scopus (cited: 3)

   2004
47. 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)  scopus (cited: 7)

   2003
48. 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)  scopus (cited: 4)
49. 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
50. Doklady Mathematics, 68:2 (2003), 163–166  mathnet  mathscinet  zmath  isi  scopus  scopus
51. Dokl. Math., 68:3 (2003), 409–413  mathnet  mathscinet  isi (cited: 1)  scopus (cited: 1)  scopus (cited: 1)
52. 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
53. 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: 2)  scopus (cited: 5)
54. Doklady Mathematics, 65:1 (2002), 64–67  mathnet  mathscinet  zmath  isi (cited: 1)  scopus  scopus
55. L. Persson-Erik, V. D. Stepanov, “Weighted integral inequalities with the geometric mean operator”, J. Inequal. Appl., 7:5 (2002), 727–746  mathscinet (cited: 27)  zmath  isi (cited: 35)  scopus (cited: 42)
56. 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
57. 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
58. Dok. Math., 63:2 (2001), 201-202  mathnet  mathscinet  zmath  isi (cited: 3)  scopus (cited: 4)  scopus (cited: 4)
59. 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: 79)  zmath  isi (cited: 94)  scopus (cited: 92)
60. S. Barza, L. Persson-Erik, V. D. Stepanov, “On weighted multidimensional embeddings for monotone functions”, Math. Scand., 88:2 (2001), 303–319  mathscinet (cited: 6)  zmath  isi (cited: 5)  scopus (cited: 7)

   2000
61. V. D. Stepanov, Nekotorye voprosy teorii integralnykh operatorov svertki, Dal'nauka, Vladivostok, 2000 , 228 pp.  mathscinet (cited: 2)
62. 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
63. 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: 10)  zmath  isi (cited: 10)  scopus (cited: 9)

   1999
64. 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
65. Doklady Mathematics, 60:1 (1999), 94–96  mathnet  mathscinet  zmath  isi  scopus  scopus

   1998
66. Doklady Mathematics, 57:2 (1998), 187–189  mathnet  mathscinet  zmath  isi  scopus  scopus
67. 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
68. 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)
69. 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
70. 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: 39)  zmath  isi (cited: 49)  scopus (cited: 46)
71. G. Sinnamon, V. D. Stepanov, “The weighted Hardy inequality: new proofs and the case $p=1$”, J. London Math. Soc., 2nd series, 54:1 (1996), 89–101  crossref  mathscinet (cited: 76)  zmath  isi (cited: 97)  scopus (cited: 91)
72. 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  isi (cited: 6)  scopus (cited: 7)

   1995
73. 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  isi (cited: 2)
74. 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: 11)  zmath  isi (cited: 12)  scopus (cited: 11)

   1994
75. V. D. Stepanov, “On the singular numbers of a class of integral operators”, Dokl. Math., 49:3 (1994), 545–547  mathnet  mathscinet  zmath  isi
76. 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: 20)  zmath
77. 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
78. M. Sh. Braverman, V. D. Stepanov, “On the discrete Hardy inequality”, Bull. London Math. Soc., 26:3 (1994), 283–287  crossref  mathscinet (cited: 4)  zmath  isi (cited: 5)  scopus (cited: 7)
79. 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: 33)  zmath  isi (cited: 46)  scopus (cited: 46)
80. 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
81. 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
82. 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)  scopus (cited: 3)
83. V. D. Stepanov, “Integral operators on the cone of monotone functions”, J. London Math. Soc. (2), 48:3 (1993), 465–487  crossref  mathscinet (cited: 29)  zmath  isi (cited: 40)  scopus (cited: 45)
84. H. P. Heinig, V. D. Stepanov, “Weighted Hardy inequalities for increasing functions”, Canad. J. Math., 45:1 (1993), 104–116  crossref  mathscinet (cited: 13)  zmath  isi (cited: 26)
85. V. D. Stepanov, “The weighted Hardy's inequality for nonincreasing functions”, Trans. Amer. Math. Soc., 338:1 (1993), 173–186  mathscinet (cited: 62)  zmath  isi (cited: 95)  scopus (cited: 88)

   1992
86. 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: 16)  zmath  isi (cited: 28)  scopus (cited: 26)

   1991
87. Siberian Mathematical Journal, 32:3 (1991), 540–542  mathscinet  zmath  isi (cited: 6)  scopus (cited: 6)
88. 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)
89. V. D. Stepanov, “Two-weighted estimates of Riemann–Liouville integrals”, Math. USSR-Izv., 36:3 (1991), 669–681  mathnet  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  scopus (cited: 18)

   1990
90. Sberian Mathematical Journal, 31:3 (1990), 513–522  mathscinet  zmath  isi (cited: 6)  scopus (cited: 6)
91. 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)
92. V. D. Stepanov, “On one weighted inequality of Hardy type for higher derivatives”, Proc. Steklov Inst. Math., 187 (1990), 205–220  mathnet  mathscinet  zmath

   1989
93. Siberian Mathematical Journal, 30:3 (1989), 457–464  mathscinet  zmath  scopus
94. Siberian Mathematical Journal, 30:1 (1989), 8–16  crossref  mathscinet  zmath  isi (cited: 12)  scopus (cited: 12)

   1988
95. 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)
96. 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
97. Siberian Mathematical Journal, 28:3 (1987), 515–517  mathscinet  zmath  scopus (cited: 4)

   1985
98. V. D. Stepanov, “On the vanishing of the symbol of a convolution integral operator”, Math. USSR-Sb., 51:1 (1985), 239–253  mathnet  crossref  mathscinet  zmath  scopus

   1984
99. 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)
100. V. D. Stepanov, “On a problem for integral convolution operators”, Math. USSR-Sb., 48:1 (1984), 211–221  mathnet  crossref  mathscinet  zmath  isi  scopus
101. V. D. Stepanov, “Characteristic properties of convolution integral operators”, Proc. Steklov Inst. Math., 161 (1984), 241–250  mathnet  mathscinet  zmath

   1982
102. V. D. Stepanov, “Periodic multipliers of Fourier integrals”, Math. Notes, 32:2 (1982), 551–556  mathnet  crossref  mathscinet  zmath  isi  scopus
103. 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
104. 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
105. 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
106. Siberian Mathematical Journal, 23:2 (1982), 243–255  crossref  mathscinet  zmath  isi  scopus (cited: 1)

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

   1980
109. 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
110. 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
111. 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)
112. V. D. Stepanov, “Convolution integral operators”, Dokl. Akad. Nauk SSSR, 243:1 (1978), 45–48  mathscinet (cited: 2)  zmath  isi (cited: 4)

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

   1974
114. Siberian Mathematical Journal, 15:3 (1974), 496–501  mathscinet  zmath  scopus

  
115. V. D. Stepanov, E. Ushakova, “Hardy-Steklov operators and duality principle in weighted first order Sobolev spaces on the real line”, Mat. Zametki (to appear)  mathnet
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