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Stepanov, Vladimir Dmitrievich

Author ID: stepanov.vladimir-dmitrievich Recent zbMATH articles by "Stepanov, Vladimir Dmitrievich"
Published as: Stepanov, V. D.; Stepanov, Vladimir D.; Stepanov, Vladimir; Stepanov, Vladimir Dmitrievich
all top 5

Co-Authors

58 single-authored
29 Ushakova, Elena Pavlovna
19 Shambilova, Guldarya Ermakovna
15 Persson, Lars-Erik
15 Prokhorov, Dmitriĭ Vladimirovich
7 Jain, Pankaj
7 Lomakina, Elena N.
6 Gogatishvili, Amiran
6 Gol’dman, Mikhail L’vovich
4 Burenkov, Viktor Ivanovich
3 Edmunds, David Eric
3 Heinig, Hans P.
3 Kanjilal, Saikat
3 Nasyrova, Maria G.
3 Popova, Olga V.
3 Wall, Peter
2 Khludnev, Aleksandr Mikhaĭlovich
2 Korotkov, Vitalii Borisovich
2 Singh, Arun Pal
2 Singh, Monika
2 Tikhonov, Sergey Yur’evich
1 Abanin, Aleksandr Vasil’evich
1 Aksent’ev, Leonid Aleksandrovich
1 Aptekarev, Alexander Ivanovich
1 Avsyankin, Oleg Gennadievich
1 Barza, Sorina
1 Batuev, Eh. N.
1 Bikchentaev, Aĭrat Midkhatovich
1 Braverman, Michael Sh.
1 Carro, María Jesús
1 Dubinin, Vladimir N.
1 Elizarov, A. M.
1 Erusalimskii, Yakov M.
1 Eveson, Simon P.
1 Goryainov, Viktor V.
1 Guliyev, Vagif Sabir
1 Jain, Sandhya
1 Johansson, Maria
1 Karapetyants, Alekseĭ Nikolaevich
1 Karyakin, Mikhail I.
1 Kayumov, Il’giz Rifatovich
1 Kokilashvili, Vakhtang
1 Kusraev, Anatoly Georgievich
1 Laptev, Ari
1 Liflyand, Elijah
1 Myasnikov, E. A.
1 Nasyrov, Semen R.
1 Pick, Luboš
1 Pskhu, Arsen Vladimirovich
1 Rabinovich, Vladimir Samuilovich
1 Rogosin, Sergei V.
1 Rubin, Boris
1 Sergeev, Armen Glebovich
1 Sinnamon, Gord
1 Soldatov, Aleksandr Pavlovich
1 Soria, Javier
1 Spitkovsky, Ilya Matvey
1 Umarkhadzhiev, Salaudin Musaevich
1 Umarov, Khasan Galsanovich
1 Vakulov, Boris Grigorievich
1 Vodop’yanov, Sergeĭ Konstantinovich
all top 5

Serials

33 Doklady Mathematics
11 Siberian Mathematical Journal
11 Mathematical Inequalities & Applications
8 Soviet Mathematics. Doklady
7 Mathematical Notes
7 Proceedings of the Steklov Institute of Mathematics
6 Journal of the London Mathematical Society. Second Series
6 Sibirskiĭ Matematicheskiĭ Zhurnal
4 Russian Mathematical Surveys
3 Mathematische Nachrichten
3 Journal of Inequalities and Applications
3 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série
2 Analysis Mathematica
2 Journal of Mathematical Analysis and Applications
2 Canadian Journal of Mathematics
2 Matematicheskiĭ Sbornik. Novaya Seriya
2 Proceedings of the American Mathematical Society
2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
2 Mathematics of the USSR, Sbornik
2 Russian Academy of Sciences. Doklady. Mathematics
2 Recueil Mathématique
2 Complex Variables and Elliptic Equations
2 Banach Journal of Mathematical Analysis
2 Eurasian Mathematical Journal
1 Matematicheskie Zametki
1 Acta Scientiarum Mathematicarum
1 Bulletin of the London Mathematical Society
1 Differentsial’nye Uravneniya
1 Differential Equations
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Mathematica Scandinavica
1 Mathematics of the USSR. Izvestiya
1 Transactions of the American Mathematical Society
1 Publicacions Matemàtiques
1 Mathematica Bohemica
1 East Journal on Approximations
1 Sbornik: Mathematics
1 The Journal of Fourier Analysis and Applications
1 Nonlinear Studies
1 RIMS Kokyuroku
1 Matematicheskie Trudy
1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Journal of Function Spaces and Applications
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 1,164 times in 445 Documents Cited by Year
The weighted Hardy inequality: New proofs and the case \(p=1\). Zbl 0856.26012
Sinnamon, Gord; Stepanov, Vladimir D.
83
1996
On embeddings between classical Lorentz spaces. Zbl 0996.46013
Carro, M.; Pick, L.; Soria, J.; Stepanov, V. D.
80
2001
The weighted Hardy’s inequality for nonincreasing functions. Zbl 0786.26015
Stepanov, Vladimir D.
52
1993
Reduction theorems for weighted integral inequalities on the cone of monotone functions. Zbl 1288.26018
Gogatishvili, A.; Stepanov, V. D.
46
2013
On the principle of duality in Lorentz spaces. Zbl 0874.47011
Gol’dman, M. L.; Heinig, H. P.; Stepanov, V. D.
46
1996
Weighted norm inequalities of Hardy type for a class of integral operators. Zbl 0837.26012
Stepanov, Vladimir D.
39
1994
Weighted integral inequalities with the geometric mean operator. Zbl 1024.26008
Persson, Lars-Erik; Stepanov, Vladimir D.
34
2002
Integral operators on the cone of monotone functions. Zbl 0837.26011
Stepanov, Vladimir D.
29
1993
Kernel operators with variable intervals of integration in Lebesgue spaces and applications. Zbl 1190.26012
Stepanov, Vladimir D.; Ushakova, Elena P.
28
2010
Weighted inequalities of Hardy type. Zbl 0729.42007
Batuev, Eh. N.; Stepanov, V. D.
25
1989
On weighted Hardy inequalities in mixed norms. Zbl 1296.46029
Prokhorov, D. V.; Stepanov, V. D.
23
2013
Weighted estimates for the Riemann-Liouville operators and applications. Zbl 1081.26004
Prokhorov, D. V.; Stepanov, V. D.
22
2003
On integral operators with variable limits of integration. Zbl 1007.46036
Stepanov, V. D.; Ushakova, E. P.
21
2001
Weighted Hardy inequalities for increasing functions. Zbl 0796.26008
Heinig, H. P.; Stepanov, V. D.
20
1993
Hardy-Steklov integral operators. I. Zbl 06908415
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
19
2018
On the Hardy-type integral operators in Banach function spaces. Zbl 0923.46029
Lomakina, Elena; Stepanov, Vladimir
19
1998
Two-weighted estimates of Riemann-Liouville integrals. Zbl 0705.26015
Stepanov, V. D.
19
1990
Reduction theorems for operators on the cones of monotone functions. Zbl 1326.47063
Gogatishvili, Amiran; Stepanov, Vladimir D.
17
2013
Weighted norm inequalities for integral operators and related topics. Zbl 0866.47025
Stepanov, Vladimir D.
15
1994
Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator. Zbl 1249.47037
Lomakina, E. N.; Stepanov, V. D.
15
2006
Two-weighted estimates of Riemann-Liouville integrals. Zbl 0724.26011
Stepanov, V. D.
14
1991
On asymptotic behaviour of the approximation numbers and estimates of Schatten-von Neumann norms of the Hardy-type integral operators. Zbl 0998.47033
Lomakina, Elena N.; Stepanov, Vladimir D.
13
2000
Weighted estimates for a class of sublinear operators. Zbl 1310.47066
Prokhorov, D. V.; Stepanov, V. D.
13
2013
Some scales of equivalent weight characterizations of Hardy’s inequality: the case \(q < p\). Zbl 1122.26016
Persson, Lars-Erik; Stepanov, Vladimir; Wall, Peter
13
2007
On the discrete Hardy inequality. Zbl 0806.26011
Braverman, Michael Sh.; Stepanov, Vladimir D.
13
1994
Hardy operator with variable limits on monotone functions. Zbl 1063.26020
Stepanov, Vladimir D.; Ushakova, Elena P.
13
2003
Weighted inequalities for a class of Volterra convolution operators. Zbl 0703.42011
Stepanov, Vladimir D.
13
1992
Estimates for a class of sublinear integral operators. Zbl 1303.45008
Prokhorov, D. V.; Stepanov, V. D.
12
2014
Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces. Zbl 1365.26022
Prokhorov, Dmitrii V.; Stepanov, Vladimir D.
12
2016
Hardy-type inequalities on the weighted cones of quasi-concave functions. Zbl 1312.26046
Persson, L.-E.; Shambilova, G. E.; Stepanov, V. D.
12
2015
On the geometric mean operator with variable limits of integration. Zbl 1233.42001
Stepanov, V. D.; Ushakova, E. P.
12
2008
Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions. Zbl 1093.26023
Persson, L.-E.; Stepanov, V. D.; Ushakova, E. P.
12
2006
On the lower bounds for Schatten-von Neumann norms of certain Volterra integral operators. Zbl 0991.47039
Stepanov, Vladimir D.
11
2000
Weighted Hardy inequality. Zbl 0633.26008
Stepanov, V. D.
11
1987
On the singular numbers of certain Volterra integral operators. Zbl 0840.45013
Edmunds, D. E.; Stepanov, V. D.
11
1995
On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces. Zbl 1193.26013
Stepanov, V. D.; Ushakova, E. P.
11
2010
Bilinear Hardy-Steklov operators. Zbl 07037802
Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P.
10
2018
On associate spaces of weighted Sobolev space on the real line. Zbl 1375.46029
Prokhorov, Dmitrii V.; Stepanov, Vladimir D.; Ushakova, Elena P.
10
2017
On the compactness and approximation numbers of Hardy-type integral operators in Lorentz spaces. Zbl 0853.42013
Lomakina, Elena; Stepanov, Vladimir
10
1996
Boundedness of linear integral operators on a class of monotone functions. Zbl 0763.47013
Stepanov, V. D.
10
1991
A duality principle in weighted Sobolev spaces on the real line. Zbl 1345.46028
Eveson, Simon P.; Stepanov, Vladimir D.; Ushakova, Elena P.
9
2015
Weighted inequalities of Hardy type for fractional Riemann-Liouville integrals. Zbl 0727.42007
Stepanov, V. D.
9
1990
Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces. Zbl 1184.26013
Stepanov, Vladimir D.; Ushakova, Elena P.
8
2009
The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013
Edmunds, D. E.; Stepanov, V. D.
8
1994
Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions. Zbl 1473.26033
Stepanov, V. D.; Shambilova, G. E.
8
2018
On the best constants in certain integral inequalities for monotone functions. Zbl 0814.26011
Myasnikov, E. A.; Persson, L. E.; Stepanov, V. D.
7
1994
Boundedness of quasilinear integral operators on the cone of monotone functions. Zbl 1360.45012
Stepanov, V. D.; Shambilova, G. E.
7
2016
On iterated and bilinear integral Hardy-type operators. Zbl 1434.26042
Stepanov, Vladimir D.; Shambilova, Guldarya E.
7
2019
On weighted Sobolev spaces on the real line. Zbl 1358.46032
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
6
2016
On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions. Zbl 1345.46024
Stepanov, V. D.
6
2015
Weight boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 1311.47013
Stepanov, V. D.; Shambilova, G. E.
6
2014
On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints. Zbl 0894.26007
Nasyrova, Masha; Stepanov, Vladimir
6
1997
Hardy inequality with three measures on monotone functions. Zbl 1155.26015
Johansson, Maria; Stepanov, Vladimir D.; Ushakova, Elena P.
6
2008
Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. Zbl 1237.44005
Stepanov, Vladimir D.; Tikhonov, Sergey Yu.
6
2011
Two-weight inequalities for the Hilbert transform of monotone functions. Zbl 1253.26034
Stepanov, V. D.; Tikhonov, S. Yu.
6
2011
On bilinear Hardy-Steklov operators. Zbl 1480.47067
Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P.
5
2018
Weighted estimates for the integral operators with monotone kernel on a half-axis. Zbl 1084.45005
Stepanov, V. D.; Ushakova, E. P.
5
2004
Weighted Hardy-type inequalities on the cone of quasi-concave functions. Zbl 1291.39049
Persson, L.-E.; Popova, O. V.; Stepanov, V. D.
5
2014
Hardy-Steklov integral operators. II. Zbl 07070182
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
5
2018
Two-sided Hardy-type inequalities for monotone functions. Zbl 1217.26034
Persson, Lars-Erik; Popova, Olga V.; Stepanov, Vladimir D.
5
2010
Integral operators on cones of monotone functions. Zbl 1281.26014
Gogatishvili, A.; Stepanov, V. D.
5
2012
On bilinear weighted inequalities on the cone of nondecreasing functions. Zbl 1390.26046
Stepanov, V. D.; Shambilova, G. E.
5
2017
Weighted Hardy type inequalities for supremum operators on the cones of monotone functions. Zbl 1346.26009
Persson, Lars-Erik; Shambilova, Guldarya E.; Stepanov, Vladimir D.
4
2016
On weighted iterated Hardy-type operators. Zbl 1424.26041
Stepanov, V. D.; Shambilova, G. E.
4
2018
Bilinear weighted inequalities with Volterra integral operators. Zbl 07125253
Stepanov, V. D.; Shambilova, G. E.
4
2019
Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions. Zbl 1495.45009
Stepanov, V. D.; Shambilova, G. E.
4
2017
On maximal overdetermined Hardy’s inequality of second order on a finite interval. Zbl 0936.26010
Nasyrova, Maria; Stepanov, Vladimir
4
1999
Sur une propriété caractéristique des fonctions mesurables. JFM 50.0181.01
Stepanov, V.
4
1924
Some properties of integral convolution operators. Zbl 0472.47027
Korotkov, V. B.; Stepanov, V. D.
4
1979
LCT based integral transforms and Hausdorff operators. Zbl 1463.44008
Jain, Pankaj; Jain, Sandhya; Stepanov, Vladimir Dmitrievich
4
2020
Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line. Zbl 1455.46038
Prokhorov, Dmitriĭ V.; Stepanov, Vladimir D.; Ushakova, Elena P.
4
2019
Bilinear weighted Hardy-type inequalities in discrete and \(q\)-calculus frameworks. Zbl 1467.26008
Jain, Pankaj; Kanjilal, Saikat; Shambilova, Guldarya E.; Stepanov, Vladimir D.
4
2020
Integral operators on cones of monotone functions. Zbl 1263.47057
Gogatishvili, A.; Stepanov, V. D.
4
2012
Multidimensional bilinear Hardy inequalities. Zbl 1440.26024
Stepanov, V. D.; Shambilova, G. E.
3
2019
On weighted multidimensional embeddings for monotone functions. Zbl 1075.46507
Barza, Sorina; Persson, Lars-Erik; Stepanov, Vladimir D.
3
2001
On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis. Zbl 1053.46021
Prokhorov, D. V.; Stepanov, V. D.
3
2002
Some scales of equivalent conditions to characterize the Stieltjes inequality: the case \(q<p\). Zbl 1298.26052
Gogatishvili, Amiran; Persson, Lars-Erik; Stepanov, Vladimir D.; Wall, Peter
3
2014
Boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 1489.47071
Stepanov, V. D.; Shambilova, G. E.
3
2016
On a supremum operator. Zbl 1260.26020
Stepanov, Vladimir D.
3
2012
On weighted estimates for a class of integral operators. Zbl 0815.47064
Stepanov, V. D.
3
1993
On convolution integral operators. Zbl 0417.47022
Stepanov, V. D.
3
1978
Bilinear Hardy-type inequalities in weighted Lebesgue spaces. Zbl 1443.26010
Stepanov, Vladimir D.; Ushakova, Elena P.
3
2019
On two-dimensional bilinear inequalities with rectangular Hardy operators in weighted Lebesgue spaces. Zbl 1480.26012
Stepanov, V. D.; Shambilova, G. E.
3
2021
On weighted Hardy inequality with two-dimensional rectangular operator – extension of the E. Sawyer theorem. Zbl 1479.26024
Stepanov, Vladimir D.; Ushakova, Elena P.
3
2021
On a weighted inequality of Hardy type for derivatives of higher order. Zbl 0705.26014
Stepanov, V. D.
3
1990
On supremum operators. Zbl 1236.47008
Prokhorov, D. V.; Stepanov, V. D.
3
2011
On scales of equivalent conditions characterizing weighted Stieltjes inequality. Zbl 1261.42005
Gogatishvili, A.; Persson, L.-E.; Stepanov, V. D.; Wall, P.
3
2012
Multidimensional bilinear Hardy inequalities. Zbl 1450.26013
Stepanov, V. D.; Shambilova, G. E.
3
2020
Operators of the Hardy-type in Banach function spaces on the semiaxis. Zbl 0958.47022
Lomakina, E. N.; Stepanov, V. D.
2
1998
On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform. Zbl 1020.26010
Nassyrova, Maria; Persson, Lars-Erik; Stepanov, Vladimir
2
2002
On a problem of Halmos and Sunder. Zbl 0598.47058
Stepanov, V. D.
2
1984
On the singular numbers of a class of integral operators. Zbl 0883.47017
Stepanov, V. D.
2
1994
On the principle of duality in Lorentz spaces. Zbl 0889.46031
Gol’dman, M. L.; Stepanov, V. D.; Heinig, H. P.
2
1995
Two-sided Hardy-type inequalities for monotone functions. Zbl 1196.26033
Stepanov, V. D.; Persson, L. E.; Popova, O. V.
2
2009
An extremal property of Chebyshev polynomials. Zbl 1125.41306
Stepanov, V. D.
2
2005
On the measure of noncompactness and approximation numbers of a class of Volterra integral operators. Zbl 0815.45006
Stepanov, V. D.; Edmunds, D. E.
2
1993
On Riemann-Liouville operators. Zbl 1146.47305
Prokhorov, D. V.; Stepanov, V. D.
2
2002
Über Operatoren in den Räumen \(L_p (R_n)\), die mit Verschiebungen vertauschbar sind. Zbl 0279.47010
Stepanov, V. D.
2
1974
On operators in L\(_p(R_n\)) spaces which commute with shifts. Zbl 0297.47028
Stepanov, V. D.
2
1975
Hardy-Steklov operators and the duality principle in weighted first-order Sobolev spaces on the real axis. Zbl 1421.42013
Stepanov, V. D.; Ushakova, E. P.
2
2019
On Cesàro and Copson type function spaces. Reflexivity. Zbl 1487.46031
Stepanov, Vladimir D.
2
2022
Compactness of the two-dimensional rectangular Hardy operator. Zbl 1506.47083
Stepanov, Vladimir Dmitrievich; Ushakova, Elena Pavlovna
1
2022
On two-dimensional bilinear inequalities with rectangular Hardy operators in weighted Lebesgue spaces. Zbl 1480.26012
Stepanov, V. D.; Shambilova, G. E.
3
2021
On weighted Hardy inequality with two-dimensional rectangular operator – extension of the E. Sawyer theorem. Zbl 1479.26024
Stepanov, Vladimir D.; Ushakova, Elena P.
3
2021
LCT based integral transforms and Hausdorff operators. Zbl 1463.44008
Jain, Pankaj; Jain, Sandhya; Stepanov, Vladimir Dmitrievich
4
2020
Bilinear weighted Hardy-type inequalities in discrete and \(q\)-calculus frameworks. Zbl 1467.26008
Jain, Pankaj; Kanjilal, Saikat; Shambilova, Guldarya E.; Stepanov, Vladimir D.
4
2020
Multidimensional bilinear Hardy inequalities. Zbl 1450.26013
Stepanov, V. D.; Shambilova, G. E.
3
2020
On the duality of grand Bochner-Lebesgue spaces. Zbl 1456.46037
Jain, P.; Singh, M.; Singh, A. P.; Stepanov, V. D.
1
2020
On iterated and bilinear integral Hardy-type operators. Zbl 1434.26042
Stepanov, Vladimir D.; Shambilova, Guldarya E.
7
2019
Bilinear weighted inequalities with Volterra integral operators. Zbl 07125253
Stepanov, V. D.; Shambilova, G. E.
4
2019
Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line. Zbl 1455.46038
Prokhorov, Dmitriĭ V.; Stepanov, Vladimir D.; Ushakova, Elena P.
4
2019
Multidimensional bilinear Hardy inequalities. Zbl 1440.26024
Stepanov, V. D.; Shambilova, G. E.
3
2019
Bilinear Hardy-type inequalities in weighted Lebesgue spaces. Zbl 1443.26010
Stepanov, Vladimir D.; Ushakova, Elena P.
3
2019
Hardy-Steklov operators and the duality principle in weighted first-order Sobolev spaces on the real axis. Zbl 1421.42013
Stepanov, V. D.; Ushakova, E. P.
2
2019
Hardy-Steklov integral operators. I. Zbl 06908415
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
19
2018
Bilinear Hardy-Steklov operators. Zbl 07037802
Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P.
10
2018
Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions. Zbl 1473.26033
Stepanov, V. D.; Shambilova, G. E.
8
2018
On bilinear Hardy-Steklov operators. Zbl 1480.47067
Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P.
5
2018
Hardy-Steklov integral operators. II. Zbl 07070182
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
5
2018
On weighted iterated Hardy-type operators. Zbl 1424.26041
Stepanov, V. D.; Shambilova, G. E.
4
2018
Spaces associated with weighted Sobolev spaces on the real line. Zbl 1409.46028
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
2
2018
Iterated integral operators on the cone of monotone functions. Zbl 07035822
Stepanov, V. D.; Shambilova, G. É.
1
2018
Sawyer duality principle in grand Lebesgue spaces. Zbl 06892214
Jain, P.; Singh, A. P.; Singh, M.; Stepanov, V. D.
1
2018
Hardy-Steklov operators and duality principle in weighted Sobolev spaces of the first order. Zbl 1403.47004
Stepanov, V. D.; Ushakova, E. P.
1
2018
On associate spaces of weighted Sobolev space on the real line. Zbl 1375.46029
Prokhorov, Dmitrii V.; Stepanov, Vladimir D.; Ushakova, Elena P.
10
2017
On bilinear weighted inequalities on the cone of nondecreasing functions. Zbl 1390.26046
Stepanov, V. D.; Shambilova, G. E.
5
2017
Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions. Zbl 1495.45009
Stepanov, V. D.; Shambilova, G. E.
4
2017
Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces. Zbl 1365.26022
Prokhorov, Dmitrii V.; Stepanov, Vladimir D.
12
2016
Boundedness of quasilinear integral operators on the cone of monotone functions. Zbl 1360.45012
Stepanov, V. D.; Shambilova, G. E.
7
2016
On weighted Sobolev spaces on the real line. Zbl 1358.46032
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P.
6
2016
Weighted Hardy type inequalities for supremum operators on the cones of monotone functions. Zbl 1346.26009
Persson, Lars-Erik; Shambilova, Guldarya E.; Stepanov, Vladimir D.
4
2016
Boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 1489.47071
Stepanov, V. D.; Shambilova, G. E.
3
2016
Hardy-type inequalities on the weighted cones of quasi-concave functions. Zbl 1312.26046
Persson, L.-E.; Shambilova, G. E.; Stepanov, V. D.
12
2015
A duality principle in weighted Sobolev spaces on the real line. Zbl 1345.46028
Eveson, Simon P.; Stepanov, Vladimir D.; Ushakova, Elena P.
9
2015
On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions. Zbl 1345.46024
Stepanov, V. D.
6
2015
On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions. Zbl 1344.46025
Stepanov, V. D.
1
2015
Estimates for a class of sublinear integral operators. Zbl 1303.45008
Prokhorov, D. V.; Stepanov, V. D.
12
2014
Weight boundedness of a class of quasilinear operators on the cone of monotone functions. Zbl 1311.47013
Stepanov, V. D.; Shambilova, G. E.
6
2014
Weighted Hardy-type inequalities on the cone of quasi-concave functions. Zbl 1291.39049
Persson, L.-E.; Popova, O. V.; Stepanov, V. D.
5
2014
Some scales of equivalent conditions to characterize the Stieltjes inequality: the case \(q<p\). Zbl 1298.26052
Gogatishvili, Amiran; Persson, Lars-Erik; Stepanov, Vladimir D.; Wall, Peter
3
2014
Reduction theorems for weighted integral inequalities on the cone of monotone functions. Zbl 1288.26018
Gogatishvili, A.; Stepanov, V. D.
46
2013
On weighted Hardy inequalities in mixed norms. Zbl 1296.46029
Prokhorov, D. V.; Stepanov, V. D.
23
2013
Reduction theorems for operators on the cones of monotone functions. Zbl 1326.47063
Gogatishvili, Amiran; Stepanov, Vladimir D.
17
2013
Weighted estimates for a class of sublinear operators. Zbl 1310.47066
Prokhorov, D. V.; Stepanov, V. D.
13
2013
Integral operators on cones of monotone functions. Zbl 1281.26014
Gogatishvili, A.; Stepanov, V. D.
5
2012
Integral operators on cones of monotone functions. Zbl 1263.47057
Gogatishvili, A.; Stepanov, V. D.
4
2012
On a supremum operator. Zbl 1260.26020
Stepanov, Vladimir D.
3
2012
On scales of equivalent conditions characterizing weighted Stieltjes inequality. Zbl 1261.42005
Gogatishvili, A.; Persson, L.-E.; Stepanov, V. D.; Wall, P.
3
2012
Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. Zbl 1237.44005
Stepanov, Vladimir D.; Tikhonov, Sergey Yu.
6
2011
Two-weight inequalities for the Hilbert transform of monotone functions. Zbl 1253.26034
Stepanov, V. D.; Tikhonov, S. Yu.
6
2011
On supremum operators. Zbl 1236.47008
Prokhorov, D. V.; Stepanov, V. D.
3
2011
Kernel operators with variable intervals of integration in Lebesgue spaces and applications. Zbl 1190.26012
Stepanov, Vladimir D.; Ushakova, Elena P.
28
2010
On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces. Zbl 1193.26013
Stepanov, V. D.; Ushakova, E. P.
11
2010
Two-sided Hardy-type inequalities for monotone functions. Zbl 1217.26034
Persson, Lars-Erik; Popova, Olga V.; Stepanov, Vladimir D.
5
2010
Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces. Zbl 1184.26013
Stepanov, Vladimir D.; Ushakova, Elena P.
8
2009
Two-sided Hardy-type inequalities for monotone functions. Zbl 1196.26033
Stepanov, V. D.; Persson, L. E.; Popova, O. V.
2
2009
On the geometric mean operator with variable limits of integration. Zbl 1233.42001
Stepanov, V. D.; Ushakova, E. P.
12
2008
Hardy inequality with three measures on monotone functions. Zbl 1155.26015
Johansson, Maria; Stepanov, Vladimir D.; Ushakova, Elena P.
6
2008
An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives. Zbl 1145.33003
Stepanov, Vladimir D.
2
2008
Weight estimates for norms of operators with two variable limits of integration. Zbl 1230.47061
Stepanov, V. D.; Ushakova, E. P.
1
2008
Some scales of equivalent weight characterizations of Hardy’s inequality: the case \(q < p\). Zbl 1122.26016
Persson, Lars-Erik; Stepanov, Vladimir; Wall, Peter
13
2007
Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator. Zbl 1249.47037
Lomakina, E. N.; Stepanov, V. D.
15
2006
Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions. Zbl 1093.26023
Persson, L.-E.; Stepanov, V. D.; Ushakova, E. P.
12
2006
An extremal property of Chebyshev polynomials. Zbl 1125.41306
Stepanov, V. D.
2
2005
On integral operators with monotone kernels. Zbl 1152.45309
Persson, L. E.; Stepanov, V. D.; Ushakova, E. P.
1
2005
Weighted estimates for the integral operators with monotone kernel on a half-axis. Zbl 1084.45005
Stepanov, V. D.; Ushakova, E. P.
5
2004
Weighted estimates for the Riemann-Liouville operators and applications. Zbl 1081.26004
Prokhorov, D. V.; Stepanov, V. D.
22
2003
Hardy operator with variable limits on monotone functions. Zbl 1063.26020
Stepanov, Vladimir D.; Ushakova, Elena P.
13
2003
The method of fictitious domains in the Signorini problem. Zbl 1071.35057
Stepanov, V. D.; Khludnev, A. M.
2
2003
The fictitious domain method as applied to the Signorini problem. Zbl 1161.35028
Stepanov, V. D.; Khludnev, A. M.
1
2003
Weighted integral inequalities with the geometric mean operator. Zbl 1024.26008
Persson, Lars-Erik; Stepanov, Vladimir D.
34
2002
On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis. Zbl 1053.46021
Prokhorov, D. V.; Stepanov, V. D.
3
2002
On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform. Zbl 1020.26010
Nassyrova, Maria; Persson, Lars-Erik; Stepanov, Vladimir
2
2002
On Riemann-Liouville operators. Zbl 1146.47305
Prokhorov, D. V.; Stepanov, V. D.
2
2002
On embeddings between classical Lorentz spaces. Zbl 0996.46013
Carro, M.; Pick, L.; Soria, J.; Stepanov, V. D.
80
2001
On integral operators with variable limits of integration. Zbl 1007.46036
Stepanov, V. D.; Ushakova, E. P.
21
2001
On weighted multidimensional embeddings for monotone functions. Zbl 1075.46507
Barza, Sorina; Persson, Lars-Erik; Stepanov, Vladimir D.
3
2001
Weighted integral inequalities with a geometric mean. Zbl 1044.26014
Persson, L.-E.; Stepanov, V. D.
1
2001
On asymptotic behaviour of the approximation numbers and estimates of Schatten-von Neumann norms of the Hardy-type integral operators. Zbl 0998.47033
Lomakina, Elena N.; Stepanov, Vladimir D.
13
2000
On the lower bounds for Schatten-von Neumann norms of certain Volterra integral operators. Zbl 0991.47039
Stepanov, Vladimir D.
11
2000
On maximal overdetermined Hardy’s inequality of second order on a finite interval. Zbl 0936.26010
Nasyrova, Maria; Stepanov, Vladimir
4
1999
On the Hardy-type integral operators in Banach function spaces. Zbl 0923.46029
Lomakina, Elena; Stepanov, Vladimir
19
1998
Operators of the Hardy-type in Banach function spaces on the semiaxis. Zbl 0958.47022
Lomakina, E. N.; Stepanov, V. D.
2
1998
On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints. Zbl 0894.26007
Nasyrova, Masha; Stepanov, Vladimir
6
1997
The weighted Hardy inequality: New proofs and the case \(p=1\). Zbl 0856.26012
Sinnamon, Gord; Stepanov, Vladimir D.
83
1996
On the principle of duality in Lorentz spaces. Zbl 0874.47011
Gol&rsquo;dman, M. L.; Heinig, H. P.; Stepanov, V. D.
46
1996
On the compactness and approximation numbers of Hardy-type integral operators in Lorentz spaces. Zbl 0853.42013
Lomakina, Elena; Stepanov, Vladimir
10
1996
On the singular numbers of certain Volterra integral operators. Zbl 0840.45013
Edmunds, D. E.; Stepanov, V. D.
11
1995
On the principle of duality in Lorentz spaces. Zbl 0889.46031
Gol&rsquo;dman, M. L.; Stepanov, V. D.; Heinig, H. P.
2
1995
Weighted norm inequalities of Hardy type for a class of integral operators. Zbl 0837.26012
Stepanov, Vladimir D.
39
1994
Weighted norm inequalities for integral operators and related topics. Zbl 0866.47025
Stepanov, Vladimir D.
15
1994
On the discrete Hardy inequality. Zbl 0806.26011
Braverman, Michael Sh.; Stepanov, Vladimir D.
13
1994
The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013
Edmunds, D. E.; Stepanov, V. D.
8
1994
On the best constants in certain integral inequalities for monotone functions. Zbl 0814.26011
Myasnikov, E. A.; Persson, L. E.; Stepanov, V. D.
7
1994
On the singular numbers of a class of integral operators. Zbl 0883.47017
Stepanov, V. D.
2
1994
The weighted Hardy’s inequality for nonincreasing functions. Zbl 0786.26015
Stepanov, Vladimir D.
52
1993
Integral operators on the cone of monotone functions. Zbl 0837.26011
Stepanov, Vladimir D.
29
1993
Weighted Hardy inequalities for increasing functions. Zbl 0796.26008
Heinig, H. P.; Stepanov, V. D.
20
1993
On weighted estimates for a class of integral operators. Zbl 0815.47064
Stepanov, V. D.
3
1993
On the measure of noncompactness and approximation numbers of a class of Volterra integral operators. Zbl 0815.45006
Stepanov, V. D.; Edmunds, D. E.
2
1993
...and 24 more Documents
all top 5

Cited by 342 Authors

63 Stepanov, Vladimir Dmitrievich
29 Gogatishvili, Amiran
26 Persson, Lars-Erik
26 Ushakova, Elena Pavlovna
21 Shambilova, Guldarya Ermakovna
19 Oĭnarov, Ryskul Oĭnarovich
19 Prokhorov, Dmitriĭ Vladimirovich
18 Jain, Pankaj
16 Guliyev, Vagif Sabir
15 Pick, Luboš
14 Kalybay, Aigerim Aisultankyzy
12 Vasil’eva, Anastasiya Andreevna
11 Soria, Javier
10 Cianchi, Andrea
10 Gol’dman, Mikhail L’vovich
10 Křepela, Martin
9 Nasibullin, Ramil Gaisa’evich
8 Burenkov, Viktor Ivanovich
8 Mustafayev, Rza Ch.
8 Neves, Júlio Severino
7 Boza, Santiago
7 Korotkov, Vitalii Borisovich
7 Opic, Bohumír
7 Sinnamon, Gord
6 Fiorenza, Alberto
6 Kufner, Alois
6 Temirkhanova, Ainur Maralkyzy
5 Bandaliev, Rovshan Alifaga ogly
5 Kamińska, Anna
5 Kanjilal, Saikat
5 Kerman, Ron
5 Lomakina, Elena N.
5 Saker, Samir H.
4 Abylaeva, Akbota Muhamediyarovna
4 Alberico, Angela
4 Avkhadiev, Farit Gabidinovich
4 Bakhtigareeva, Él’za Gizarovna
4 Carro, María Jesús
4 Ciesielski, Maciej
4 Edmunds, David Eric
4 Haroske, Dorothee D.
4 Jain, Sandhya
4 Liflyand, Elijah
4 Liu, Zhuangyi
4 Maligranda, Lech
4 Maz’ya, Vladimir Gilelevich
4 Meskhi, Alexander
4 Mihula, Zdeněk
4 Okpoti, Christopher Adjei
4 Vasil’eva, Anastasia Andreevna
4 Zhang, Qiong
3 Aliev, Rashid Avazaga
3 Baiarystanov, Askar O.
3 Bilgiçli, Nevin
3 Gupta, Babita
3 Han, Zhongjie
3 Kopaliani, Tengiz
3 Li, Hongliang
3 Martín, Joaquim
3 Domingues de Moura, Susana
3 Nasyrova, Maria G.
3 Nekvinda, Aleš
3 Ortega Salvador, Pedro
3 Osman, Mahmoud M.
3 Popova, Olga V.
3 Rakotondratsimba, Yves
3 Ruzhansky, Michael V.
3 Saied, Ahmed I.
3 Samko, Stefan Grigor’evich
3 Slavíková, Lenka
3 Tikhonov, Sergey Yur’evich
3 Turčinová, Hana
3 Ünver, Tuğçe
2 Abdo, Khadega R.
2 Agarwal, Ravi P.
2 Aliev, Seymur S.
2 Amrahova, Aynur F.
2 Anderson, Douglas Robert
2 Asif, Muhammad
2 Barza, Sorina
2 Bennett, Grahame
2 Cruz-Uribe, David Vincente
2 Farsani, Soroosh Mohammadi
2 Gadjieva, Elmira A.
2 Gao, Guilian
2 Grosse-Erdmann, Karl-Goswin
2 Guliev, G. V.
2 Hara, Takanobu
2 Johansson, Maria
2 Karaman, Turhan
2 Karatayeva, Danagul
2 Kopylov, Yaroslav Anatol’evich
2 Kuliev, Komil D.
2 Lang, Jan
2 Lazarev, Nyurgun Petrovich
2 Leśnik, Karol
2 Mahmoud, Ramy Ramadan
2 Makarov, R. V.
2 Mamedov, Farman Imran
2 Manglik, Rohit
...and 242 more Authors
all top 5

Cited in 119 Serials

34 Doklady Mathematics
28 Journal of Mathematical Analysis and Applications
27 Siberian Mathematical Journal
16 Mathematische Nachrichten
16 Proceedings of the Steklov Institute of Mathematics
14 Journal of Inequalities and Applications
14 Eurasian Mathematical Journal
13 Mathematical Inequalities & Applications
10 Mathematical Notes
9 Journal of Approximation Theory
9 Proceedings of the American Mathematical Society
9 Russian Journal of Mathematical Physics
8 Journal of Functional Analysis
8 Journal of Mathematical Sciences (New York)
8 Positivity
7 Journal of Mathematical Inequalities
6 Zeitschrift für Analysis und ihre Anwendungen
6 The Journal of Fourier Analysis and Applications
5 Analysis Mathematica
5 Studia Mathematica
5 Revista Matemática Complutense
5 Lobachevskii Journal of Mathematics
5 Journal of Function Spaces and Applications
5 Journal of Function Spaces
4 Journal d’Analyse Mathématique
4 Collectanea Mathematica
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Russian Mathematics
4 Potential Analysis
4 Complex Variables and Elliptic Equations
4 Banach Journal of Mathematical Analysis
3 Ukrainian Mathematical Journal
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Integral Equations and Operator Theory
3 Journal of Computational and Applied Mathematics
3 Transactions of the American Mathematical Society
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 St. Petersburg Mathematical Journal
3 Izvestiya: Mathematics
3 Acta Mathematica Sinica. English Series
3 Ufimskiĭ Matematicheskiĭ Zhurnal
3 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
3 Analysis and Mathematical Physics
2 Bulletin of the Australian Mathematical Society
2 Israel Journal of Mathematics
2 Rocky Mountain Journal of Mathematics
2 Russian Mathematical Surveys
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
2 Czechoslovak Mathematical Journal
2 Journal of Differential Equations
2 Mathematische Annalen
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Control and Optimization
2 Bulletin of the Iranian Mathematical Society
2 Journal of Complexity
2 Bulletin des Sciences Mathématiques
2 Sbornik: Mathematics
2 Qualitative Theory of Dynamical Systems
2 Communications on Pure and Applied Analysis
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Mediterranean Journal of Mathematics
2 Complex Analysis and Operator Theory
2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
2 Discrete and Continuous Dynamical Systems. Series S
2 Advanced Studies: Euro-Tbilisi Mathematical Journal
1 Indian Journal of Pure & Applied Mathematics
1 Advances in Mathematics
1 Annales Polonici Mathematici
1 Applied Mathematics and Computation
1 Canadian Journal of Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Illinois Journal of Mathematics
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Numerical Functional Analysis and Optimization
1 Quaestiones Mathematicae
1 Real Analysis Exchange
1 Ricerche di Matematica
1 Advances in Applied Mathematics
1 Bulletin of the Korean Mathematical Society
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Forum Mathematicum
1 The Journal of Geometric Analysis
1 Aequationes Mathematicae
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Stochastic Processes and their Applications
1 Calculus of Variations and Partial Differential Equations
1 Annales Mathématiques Blaise Pascal
1 Turkish Journal of Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Integral Transforms and Special Functions
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
...and 19 more Serials

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