On weighted Hardy inequality with two-dimensional rectangular operator - extension of the E. Sawyer theorem

DOI10.7153/mia-2021-24-43zbMath1479.26024arXiv2009.06713OpenAlexW3193124151MaRDI QIDQ5153578

Elena P. Ushakova, Vladimir D. Stepanov

Publication date: 30 September 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06713

zbMATH Keywords

Hardy inequalityweighted Lebesgue spacerectangular integration operator

Mathematics Subject Classification ID

Integral operators (47G10) Inequalities for sums, series and integrals (26D15)

Related Items

Weighted Hardy inequality with two-dimensional rectangular operator: the case q<p, Compactness of the two-dimensional rectangular Hardy operator, Boundedness and compactness of the two-dimensional rectangular Hardy operator, Unnamed Item

Cites Work

• Hardy-Steklov integral operators. I
• An equivalence theorem for integral conditions related to Hardy's inequality
• Weighted integral inequalities with the geometric mean operator
• Weighted inequalities for the Sawyer two-dimensional Hardy operator and its limiting geometric mean operator
• A note on two-weight inequalities for multiple Hardy-type operators
• Some scales of equivalent weight characterizations of Hardy's inequality: the case q<p
• Weighted inequalities for the two-dimensional Hardy operator
• Weighted Inequalities of Hardy Type
• Some multi-dimensional Hardy type integral inequalities
• Hardy's inequality with weights
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