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Found 43 Documents (Results 1–43)

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
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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).
MSC:  26D10 46E30
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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
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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
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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).
MSC:  26D15 46E30
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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).
MSC:  42B35 47G10 46E35
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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).
MSC:  47G10 47A07
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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).
MSC:  47G10 46A20 46E35
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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
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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).
MSC:  26D15 26D10
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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
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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
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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).
MSC:  26D15 47G10
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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).
MSC:  45P05 26D15 47G10
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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).
MSC:  47A30 26D10
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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).
MSC:  47G10 26D10 26D15
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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).
MSC:  26D15 47G10
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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).
MSC:  26D15
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