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@article{TRSPY_2021_312_a14, author = {V. D. Stepanov and G. E. Shambilova}, title = {On {Two-Dimensional} {Bilinear} {Inequalities} with {Rectangular} {Hardy} {Operators} in {Weighted} {Lebesgue} {Spaces}}, journal = {Informatics and Automation}, pages = {251--258}, publisher = {mathdoc}, volume = {312}, year = {2021}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a14/} }
TY - JOUR AU - V. D. Stepanov AU - G. E. Shambilova TI - On Two-Dimensional Bilinear Inequalities with Rectangular Hardy Operators in Weighted Lebesgue Spaces JO - Informatics and Automation PY - 2021 SP - 251 EP - 258 VL - 312 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a14/ LA - ru ID - TRSPY_2021_312_a14 ER -
%0 Journal Article %A V. D. Stepanov %A G. E. Shambilova %T On Two-Dimensional Bilinear Inequalities with Rectangular Hardy Operators in Weighted Lebesgue Spaces %J Informatics and Automation %D 2021 %P 251-258 %V 312 %I mathdoc %U http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a14/ %G ru %F TRSPY_2021_312_a14
V. D. Stepanov; G. E. Shambilova. On Two-Dimensional Bilinear Inequalities with Rectangular Hardy Operators in Weighted Lebesgue Spaces. Informatics and Automation, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 251-258. http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a14/
[1] Aguilar Cañestro M.I., Ortega Salvador P., Ramírez Torreblanca C., “Weighted bilinear Hardy inequalities”, J. Math. Anal. Appl., 387:1 (2012), 320–334 | DOI | MR | Zbl
[2] Bilgiçli N., Mustafayev R.Ch., Ünver T., “Multidimensional bilinear Hardy inequalities”, Azerb. J. Math., 10:1 (2020), 127–161 | MR | Zbl
[3] Cwikel M., Kerman R., “Positive multilinear operators acting on weighted $L^p$ spaces”, J. Funct. Anal., 106:1 (1992), 130–144 | DOI | MR | Zbl
[4] Grafakos L., Torres R.H., “A multilinear Schur test and multiplier operators”, J. Funct. Anal., 187:1 (2001), 1–24 | DOI | MR | Zbl
[5] Jain P., Kanjilal S., Persson L.-E., “Hardy-type inequalities over balls in $\mathbb R^N$ for some bilinear and iterated operators”, J. Inequal. Spec. Funct., 10:2 (2019), 35–48 | MR
[6] P. Jain, S. Kanjilal, V. D. Stepanov, and E. P. Ushakova, “On bilinear Hardy–Steklov operators”, Dokl. Math., 98:3 (2018), 634–637 | DOI | MR | Zbl
[7] Jain P., Kanjilal S., Stepanov V.D., Ushakova E.P., “Bilinear Hardy–Steklov operators”, Math. Notes, 104:6 (2018), 823–832 | DOI | MR | Zbl
[8] Křepela M., “Iterating bilinear Hardy inequalities”, Proc. Edinb. Math. Soc. Ser. 2, 60:4 (2017), 955–971 | DOI | MR
[9] Křepela M., “Bilinear weighted Hardy inequality for nonincreasing functions”, Publ. Mat. Barc., 61:1 (2017), 3–50 | DOI | MR
[10] Kufner A., Persson L.-E., Samko N., Weighted inequalities of Hardy type, 2nd ed., World Scientific, Hackensack, NJ, 2017 | MR | Zbl
[11] Persson L.-E., Ushakova E.P., “Some multi-dimensional Hardy type integral inequalities”, J. Math. Inequal., 1:3 (2007), 301–319 | DOI | MR | Zbl
[12] D. V. Prokhorov, “On a class of weighted inequalities containing quasilinear operators”, Proc. Steklov Inst. Math., 293 (2016), 272–287 | DOI | MR | MR | Zbl
[13] D. V. Prokhorov, V. D. Stepanov, and E. P. Ushakova, “Hardy–Steklov integral operators. I, II”, Proc. Steklov Inst. Math., 300:Suppl. 2 (2018), S1–S112 ; 302:Suppl. 1 (2018), S1–S61 | MR | MR | Zbl | Zbl
[14] Sawyer E., “Weighted inequalities for the two-dimensional Hardy operator”, Stud. math., 82 (1985), 1–16 | DOI | MR | Zbl
[15] V. D. Stepanov and G. E. Shambilova, “Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions”, Sib. Math. J., 59:3 (2018), 505–522 | DOI | MR | Zbl
[16] Stepanov V.D., Shambilova G.E., “On iterated and bilinear integral Hardy-type operators”, Math. Inequal. Appl., 22:4 (2019), 1505–1533 | MR | Zbl
[17] V. D. Stepanov and G. E. Shambilova, “Multidimensional bilinear Hardy inequalities”, Dokl. Math., 100:1 (2019), 374–376 | DOI | MR | Zbl
[18] V. D. Stepanov and G. E. Shambilova, “Multidimensional bilinear Hardy inequalities”, Sib. Math. J., 61:4 (2020), 725–742 | DOI | MR | Zbl
[19] Stepanov V.D., Ushakova E.P., “Bilinear Hardy-type inequalities in weighted Lebesgue spaces”, Nonlinear Stud., 26:4 (2018), 939–953 | MR
[20] Wedestig A., “Weighted inequalities for the Sawyer two-dimensional Hardy operator and its limiting geometric mean operator”, J. Inequal. Appl., 2005:4 (2005), 387–394 | DOI | MR | Zbl