Goldman, M. L.; Stepanov, V. D. Riemann-Liouville space of fractional potentials on the half-line. (English. Russian original) Zbl 07814412 Proc. Steklov Inst. Math. 323, No. 1, 120-129 (2023); translation from Tr. Mat. Inst. Steklova 323, 127-136 (2023). MSC: 30-XX 46-XX PDFBibTeX XMLCite \textit{M. L. Goldman} and \textit{V. D. Stepanov}, Proc. Steklov Inst. Math. 323, No. 1, 120--129 (2023; Zbl 07814412); translation from Tr. Mat. Inst. Steklova 323, 127--136 (2023) Full Text: DOI
Stepanov, V. D.; Ushakova, E. P. Boundedness and compactness of the two-dimensional rectangular Hardy operator. (English. Russian original) Zbl 1518.47080 Dokl. Math. 106, No. 2, 361-365 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 68-72 (2022). MSC: 47G10 47B92 46E30 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{E. P. Ushakova}, Dokl. Math. 106, No. 2, 361--365 (2022; Zbl 1518.47080); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 68--72 (2022) Full Text: DOI
Stepanov, Vladimir D. On the boundedness of the Hilbert transform from weighted Sobolev space to weighted Lebesgue space. (English) Zbl 1504.44003 J. Fourier Anal. Appl. 28, No. 3, Paper No. 46, 17 p. (2022). MSC: 44A15 42B20 26A48 42A50 PDFBibTeX XMLCite \textit{V. D. Stepanov}, J. Fourier Anal. Appl. 28, No. 3, Paper No. 46, 17 p. (2022; Zbl 1504.44003) Full Text: DOI
Stepanov, Vladimir D. On Cesàro and Copson type function spaces. Reflexivity. (English) Zbl 1487.46031 J. Math. Anal. Appl. 507, No. 1, Article ID 125764, 18 p. (2022). MSC: 46E30 46B10 PDFBibTeX XMLCite \textit{V. D. Stepanov}, J. Math. Anal. Appl. 507, No. 1, Article ID 125764, 18 p. (2022; Zbl 1487.46031) Full Text: DOI
Stepanov, Vladimir D.; Ushakova, Elena P. On weighted Hardy inequality with two-dimensional rectangular operator – extension of the E. Sawyer theorem. (English) Zbl 1479.26024 Math. Inequal. Appl. 24, No. 3, 617-634 (2021). MSC: 26D15 47G10 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{E. P. Ushakova}, Math. Inequal. Appl. 24, No. 3, 617--634 (2021; Zbl 1479.26024) Full Text: DOI arXiv
Stepanov, V. D.; Shambilova, G. E. On two-dimensional bilinear inequalities with rectangular Hardy operators in weighted Lebesgue spaces. (English. Russian original) Zbl 1480.26012 Proc. Steklov Inst. Math. 312, 241-248 (2021); translation from Tr. Mat. Inst. Steklova 312, 251-258 (2021). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 26D10 46E30 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Proc. Steklov Inst. Math. 312, 241--248 (2021; Zbl 1480.26012); translation from Tr. Mat. Inst. Steklova 312, 251--258 (2021) Full Text: DOI
Stepanov, V. D.; Shambilova, G. E. Bilinear weighted inequalities with two-dimensional operators. (English. Russian original) Zbl 1481.26018 Dokl. Math. 102, No. 2, 406-408 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 60-63 (2020). MSC: 26D10 46E30 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 102, No. 2, 406--408 (2020; Zbl 1481.26018); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 60--63 (2020) Full Text: DOI
Jain, Pankaj; Kanjilal, Saikat; Shambilova, Guldarya E.; Stepanov, Vladimir D. Bilinear weighted Hardy-type inequalities in discrete and \(q\)-calculus frameworks. (English) Zbl 1467.26008 Math. Inequal. Appl. 23, No. 4, 1279-1310 (2020). Reviewer: Petr Gurka (Praha) MSC: 26D10 46E35 PDFBibTeX XMLCite \textit{P. Jain} et al., Math. Inequal. Appl. 23, No. 4, 1279--1310 (2020; Zbl 1467.26008) Full Text: DOI
Stepanov, V. D.; Shambilova, G. E. Multidimensional bilinear Hardy inequalities. (English. Russian original) Zbl 1450.26013 Sib. Math. J. 61, No. 4, 725-742 (2020); translation from Sib. Mat. Zh. 61, No. 4, 913-931 (2020). Reviewer: George Stoica (Saint John) MSC: 26D15 46E35 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Sib. Math. J. 61, No. 4, 725--742 (2020; Zbl 1450.26013); translation from Sib. Mat. Zh. 61, No. 4, 913--931 (2020) Full Text: DOI
Jain, P.; Stepanov, V. D.; Shambilova, G. E. Discrete bilinear Hardy inequalities. (English. Russian original) Zbl 1444.26031 Dokl. Math. 100, No. 3, 554-557 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 5, 445-448 (2019). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D15 PDFBibTeX XMLCite \textit{P. Jain} et al., Dokl. Math. 100, No. 3, 554--557 (2019; Zbl 1444.26031); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 5, 445--448 (2019) Full Text: DOI
Prokhorov, Dmitriĭ V.; Stepanov, Vladimir D.; Ushakova, Elena P. Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line. (English. Russian original) Zbl 1455.46038 Russ. Math. Surv. 74, No. 6, 1075-1115 (2019); translation from Usp. Mat. Nauk 74, No. 6, 119-158 (2019). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{D. V. Prokhorov} et al., Russ. Math. Surv. 74, No. 6, 1075--1115 (2019; Zbl 1455.46038); translation from Usp. Mat. Nauk 74, No. 6, 119--158 (2019) Full Text: DOI
Stepanov, Vladimir D.; Shambilova, Guldarya E. On iterated and bilinear integral Hardy-type operators. (English) Zbl 1434.26042 Math. Inequal. Appl. 22, No. 4, 1505-1533 (2019). MSC: 26D10 46E20 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Math. Inequal. Appl. 22, No. 4, 1505--1533 (2019; Zbl 1434.26042) Full Text: DOI
Stepanov, V. D.; Shambilova, G. E. Multidimensional bilinear Hardy inequalities. (English. Russian original) Zbl 1440.26024 Dokl. Math. 100, No. 1, 374-376 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 5, 496-498 (2019). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D15 46E30 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 100, No. 1, 374--376 (2019; Zbl 1440.26024); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 5, 496--498 (2019) Full Text: DOI
Stepanov, V. D.; Shambilova, G. E. Bilinear weighted inequalities with Volterra integral operators. (English. Russian original) Zbl 07125253 Dokl. Math. 99, No. 3, 290-294 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 4, 416-420 (2019). MSC: 47-XX PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 99, No. 3, 290--294 (2019; Zbl 07125253); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 4, 416--420 (2019) Full Text: DOI
Stepanov, V. D.; Ushakova, E. P. Hardy-Steklov operators and the duality principle in weighted first-order Sobolev spaces on the real axis. (English. Russian original) Zbl 1421.42013 Math. Notes 105, No. 1, 91-103 (2019); translation from Mat. Zametki 105, No. 1, 108-122 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 42B35 47G10 46E35 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{E. P. Ushakova}, Math. Notes 105, No. 1, 91--103 (2019; Zbl 1421.42013); translation from Mat. Zametki 105, No. 1, 108--122 (2019) Full Text: DOI
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. Hardy-Steklov integral operators. II. (English. Russian original) Zbl 07070182 Proc. Steklov Inst. Math. 302, Suppl. 1, S1-S61 (2018); translation from Sovrem. Probl. Mat. 22, 123-185 (2016). MSC: 47-XX PDFBibTeX XMLCite \textit{D. V. Prokhorov} et al., Proc. Steklov Inst. Math. 302, S1--S61 (2018; Zbl 07070182); translation from Sovrem. Probl. Mat. 22, 123--185 (2016) Full Text: DOI
Jain, P.; Kanjilal, S.; Stepanov, V. D.; Ushakova, E. P. On bilinear Hardy-Steklov operators. (English. Russian original) Zbl 1480.47067 Dokl. Math. 98, No. 3, 634-637 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 6, 596-599 (2018). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 47G10 47A07 PDFBibTeX XMLCite \textit{P. Jain} et al., Dokl. Math. 98, No. 3, 634--637 (2018; Zbl 1480.47067); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 6, 596--599 (2018) Full Text: DOI
Stepanov, V. D.; Shambilova, G. É. Iterated integral operators on the cone of monotone functions. (English. Russian original) Zbl 07035822 Math. Notes 104, No. 3, 443-453 (2018); translation from Mat. Zametki 104, No. 3, 454-466 (2018). MSC: 47G10 45P05 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. É. Shambilova}, Math. Notes 104, No. 3, 443--453 (2018; Zbl 07035822); translation from Mat. Zametki 104, No. 3, 454--466 (2018) Full Text: DOI
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. Spaces associated with weighted Sobolev spaces on the real line. (English. Russian original) Zbl 1409.46028 Dokl. Math. 98, No. 1, 373-376 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 5, 486-489 (2018). MSC: 46E35 PDFBibTeX XMLCite \textit{D. V. Prokhorov} et al., Dokl. Math. 98, No. 1, 373--376 (2018; Zbl 1409.46028); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 5, 486--489 (2018) Full Text: DOI
Stepanov, V. D.; Ushakova, E. P. Hardy-Steklov operators and duality principle in weighted Sobolev spaces of the first order. (English. Russian original) Zbl 1403.47004 Dokl. Math. 97, No. 3, 232-235 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 2, 150-154 (2018). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 47G10 46A20 46E35 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{E. P. Ushakova}, Dokl. Math. 97, No. 3, 232--235 (2018; Zbl 1403.47004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 2, 150--154 (2018) Full Text: DOI
Stepanov, V. D.; Shambilova, G. E. Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions. (English. Russian original) Zbl 1473.26033 Sib. Math. J. 59, No. 3, 505-522 (2018); translation from Sib. Mat. Zh. 59, No. 3, 639-658 (2018). MSC: 26D15 41A17 46E30 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Sib. Math. J. 59, No. 3, 505--522 (2018; Zbl 1473.26033); translation from Sib. Mat. Zh. 59, No. 3, 639--658 (2018) Full Text: DOI
Stepanov, V. D.; Shambilova, G. E. On weighted iterated Hardy-type operators. (English) Zbl 1424.26041 Anal. Math. 44, No. 2, 273-283 (2018). Reviewer: Isabel Marrero (La Laguna) MSC: 26D10 26D15 46E20 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Anal. Math. 44, No. 2, 273--283 (2018; Zbl 1424.26041) Full Text: DOI
Prokhorov, D. V.; Stepanov, V. D.; Ushakova, E. P. Hardy-Steklov integral operators. I. (English. Russian original) Zbl 06908415 Proc. Steklov Inst. Math. 300, Suppl. 2, S1-S112 (2018); translation from Sovrem. Probl. Mat. 2016, No. 22, 3-122 (2016). MSC: 47-XX PDFBibTeX XMLCite \textit{D. V. Prokhorov} et al., Proc. Steklov Inst. Math. 300, S1--S112 (2018; Zbl 06908415); translation from Sovrem. Probl. Mat. 2016, No. 22, 3--122 (2016) Full Text: DOI
Stepanov, Vladimir Dmitrievich; Shambilova, Guldarya Ermakovna On the boundedness of quasilinear integral operators of iterated type with Oinarov’s kernels on the cone of monotone functions. (English) Zbl 1463.26072 Eurasian Math. J. 8, No. 2, 47-73 (2017). MSC: 26D15 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Eurasian Math. J. 8, No. 2, 47--73 (2017; Zbl 1463.26072) Full Text: DOI MNR
Stepanov, V. D.; Shambilova, G. E. On bilinear weighted inequalities on the cone of nondecreasing functions. (English. Russian original) Zbl 1390.26046 Dokl. Math. 96, No. 3, 631-635 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 6, 652-656 (2017). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 26D10 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 96, No. 3, 631--635 (2017; Zbl 1390.26046); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 6, 652--656 (2017) Full Text: DOI
Stepanov, V. D.; Shambilova, G. E. Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions. (English. Russian original) Zbl 1495.45009 Dokl. Math. 96, No. 1, 315-320 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 1, 17-23 (2016). MSC: 45P05 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 96, No. 1, 315--320 (2017; Zbl 1495.45009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 1, 17--23 (2016) Full Text: DOI
Prokhorov, Dmitrii V.; Stepanov, Vladimir D.; Ushakova, Elena P. On associate spaces of weighted Sobolev space on the real line. (English) Zbl 1375.46029 Math. Nachr. 290, No. 5-6, 890-912 (2017). MSC: 46E35 PDFBibTeX XMLCite \textit{D. V. Prokhorov} et al., Math. Nachr. 290, No. 5--6, 890--912 (2017; Zbl 1375.46029) Full Text: DOI
Stepanov, V. D.; Shambilova, G. E. Boundedness of a class of quasilinear operators on the cone of monotone functions. (English. Russian original) Zbl 1489.47071 Dokl. Math. 94, No. 3, 697-702 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 645-650 (2016). MSC: 47G10 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 94, No. 3, 697--702 (2016; Zbl 1489.47071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 645--650 (2016) Full Text: DOI
Prokhorov, Dmitrii V.; Stepanov, Vladimir D. Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces. (English. Russian original) Zbl 1365.26022 Sb. Math. 207, No. 8, 1159-1186 (2016); translation from Mat. Sb. 207, No. 7, 135-162 (2016). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 47G10 PDFBibTeX XMLCite \textit{D. V. Prokhorov} and \textit{V. D. Stepanov}, Sb. Math. 207, No. 8, 1159--1186 (2016; Zbl 1365.26022); translation from Mat. Sb. 207, No. 7, 135--162 (2016) Full Text: DOI arXiv
Stepanov, V. D.; Shambilova, G. E. Boundedness of quasilinear integral operators on the cone of monotone functions. (English. Russian original) Zbl 1360.45012 Sib. Math. J. 57, No. 5, 884-904 (2016); translation from Sib. Mat. Zh. 57, No. 5, 1131-1155 (2016). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 45P05 26D15 47G10 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Sib. Math. J. 57, No. 5, 884--904 (2016; Zbl 1360.45012); translation from Sib. Mat. Zh. 57, No. 5, 1131--1155 (2016) Full Text: DOI
Persson, Lars-Erik; Shambilova, Guldarya E.; Stepanov, Vladimir D. Weighted Hardy type inequalities for supremum operators on the cones of monotone functions. (English) Zbl 1346.26009 J. Inequal. Appl. 2016, Paper No. 237, 18 p. (2016). MSC: 26D15 47G10 PDFBibTeX XMLCite \textit{L.-E. Persson} et al., J. Inequal. Appl. 2016, Paper No. 237, 18 p. (2016; Zbl 1346.26009) Full Text: DOI
Stepanov, V. D. On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions. (English. Russian original) Zbl 1345.46024 Math. Notes 98, No. 6, 957-970 (2015); translation from Mat. Zametki 98, No. 6, 907-922 (2015). MSC: 46E30 PDFBibTeX XMLCite \textit{V. D. Stepanov}, Math. Notes 98, No. 6, 957--970 (2015; Zbl 1345.46024); translation from Mat. Zametki 98, No. 6, 907--922 (2015) Full Text: DOI
Eveson, Simon P.; Stepanov, Vladimir D.; Ushakova, Elena P. A duality principle in weighted Sobolev spaces on the real line. (English) Zbl 1345.46028 Math. Nachr. 288, No. 8-9, 877-897 (2015). MSC: 46E35 PDFBibTeX XMLCite \textit{S. P. Eveson} et al., Math. Nachr. 288, No. 8--9, 877--897 (2015; Zbl 1345.46028) Full Text: DOI
Persson, L.-E.; Shambilova, G. E.; Stepanov, V. D. Hardy-type inequalities on the weighted cones of quasi-concave functions. (English) Zbl 1312.26046 Banach J. Math. Anal. 9, No. 2, 21-34 (2015). MSC: 26D15 47G10 PDFBibTeX XMLCite \textit{L. E. Persson} et al., Banach J. Math. Anal. 9, No. 2, 21--34 (2015; Zbl 1312.26046) Full Text: DOI Euclid
Stepanov, V. D.; Shambilova, G. E. Weight boundedness of a class of quasilinear operators on the cone of monotone functions. (English. Russian original) Zbl 1311.47013 Dokl. Math. 90, No. 2, 569-572 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 268-271 (2014). Reviewer: V. Lokesha (Bangalore) MSC: 47A30 26D10 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{G. E. Shambilova}, Dokl. Math. 90, No. 2, 569--572 (2014; Zbl 1311.47013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 268--271 (2014) Full Text: DOI
Prokhorov, D. V.; Stepanov, V. D. Estimates for a class of sublinear integral operators. (English. Russian original) Zbl 1303.45008 Dokl. Math. 89, No. 3, 372-377 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 6, 645-649 (2014). MSC: 45P05 PDFBibTeX XMLCite \textit{D. V. Prokhorov} and \textit{V. D. Stepanov}, Dokl. Math. 89, No. 3, 372--377 (2014; Zbl 1303.45008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 6, 645--649 (2014) Full Text: DOI
Prokhorov, D. V.; Stepanov, V. D. Weighted estimates for a class of sublinear operators. (English. Russian original) Zbl 1310.47066 Dokl. Math. 88, No. 3, 721-723 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 5, 486-488 (2013). Reviewer: Harun Karsli (Bolu) MSC: 47G10 26D10 26D15 PDFBibTeX XMLCite \textit{D. V. Prokhorov} and \textit{V. D. Stepanov}, Dokl. Math. 88, No. 3, 721--723 (2013; Zbl 1310.47066); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 5, 486--488 (2013) Full Text: DOI
Prokhorov, D. V.; Stepanov, V. D. On weighted Hardy inequalities in mixed norms. (English. Russian original) Zbl 1296.46029 Proc. Steklov Inst. Math. 283, 149-164 (2013); translation from Tr. Mat. Inst. Steklova 283, 155-170 (2013). MSC: 46E30 26D10 PDFBibTeX XMLCite \textit{D. V. Prokhorov} and \textit{V. D. Stepanov}, Proc. Steklov Inst. Math. 283, 149--164 (2013; Zbl 1296.46029); translation from Tr. Mat. Inst. Steklova 283, 155--170 (2013) Full Text: DOI
Gogatishvili, A.; Stepanov, V. D. Reduction theorems for weighted integral inequalities on the cone of monotone functions. (English. Russian summary) Zbl 1288.26018 Russ. Math. Surv. 68, No. 4, 597-664 (2013); translation from Usp. Mat. Nauk 68, No. 4, 3-68 (2013). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 47G10 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{V. D. Stepanov}, Russ. Math. Surv. 68, No. 4, 597--664 (2013; Zbl 1288.26018); translation from Usp. Mat. Nauk 68, No. 4, 3--68 (2013) Full Text: DOI
Prokhorov, D. V.; Stepanov, V. D. On supremum operators. (English. Russian original) Zbl 1236.47008 Dokl. Math. 84, No. 1, 457-458 (2011); translation from Dokl. Akad. Nauk 439, No. 1, 28-29 (2011). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A30 47G10 46E30 PDFBibTeX XMLCite \textit{D. V. Prokhorov} and \textit{V. D. Stepanov}, Dokl. Math. 84, No. 1, 457--458 (2011; Zbl 1236.47008); translation from Dokl. Akad. Nauk 439, No. 1, 28--29 (2011) Full Text: DOI
Stepanov, V. D.; Persson, L. E.; Popova, O. V. Two-sided Hardy-type inequalities for monotone functions. (English. Russian original) Zbl 1196.26033 Dokl. Math. 80, No. 3, 814-817 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 159-162 (2009). Reviewer: B. G. Pachpatte (Aurangabad) MSC: 26D15 PDFBibTeX XMLCite \textit{V. D. Stepanov} et al., Dokl. Math. 80, No. 3, 814--817 (2009; Zbl 1196.26033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 159--162 (2009) Full Text: DOI
Stepanov, V. D.; Ushakova, E. P. On the geometric mean operator with variable limits of integration. (English. Russian original) Zbl 1233.42001 Proc. Steklov Inst. Math. 260, 254-278 (2008); translation from Tr. Mat. Inst. Steklova 260, 264-288 (2008). MSC: 42B20 46E30 47B38 PDFBibTeX XMLCite \textit{V. D. Stepanov} and \textit{E. P. Ushakova}, Proc. Steklov Inst. Math. 260, 254--278 (2008; Zbl 1233.42001); translation from Tr. Mat. Inst. Steklova 260, 264--288 (2008) Full Text: DOI
Persson, L.-E.; Stepanov, V. D.; Ushakova, E. P. Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions. (English) Zbl 1093.26023 Proc. Am. Math. Soc. 134, No. 8, 2363-2372 (2006). Reviewer: Bohumír Opic (Praha) MSC: 26D15 47B38 PDFBibTeX XMLCite \textit{L. E. Persson} et al., Proc. Am. Math. Soc. 134, No. 8, 2363--2372 (2006; Zbl 1093.26023) Full Text: DOI