Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces

DOI10.1515/math-2024-0046zbMATH Open1544.26002MaRDI QIDQ6595228

Aigerim Kalybay

Publication date: 29 August 2024

Published in: Open Mathematics (Search for Journal in Brave)

zbMATH Keywords

weight functionLebesgue spaceintegral operatorHardy-type inequalityMorrey-type space

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• On a class of weighted inequalities containing quasilinear operators
• Weighted bilinear Hardy inequalities
• Bilinear Hardy-Steklov operators
• Weighted inequalities for a superposition of the copson operator and the Hardy operator
• Some new iterated Hardy-type inequalities
• On weighted inequalities for a class of quasilinear integral operators
• Some new iterated Hardy-type inequalities: the case \({\theta=1}\)
• Weighted estimates for a class of quasilinear integral operators
• Hardy's inequality with three measures
• On weighted Hardy inequalities in mixed norms
• Weighted inequalities for a class of semiadditive operators
• Weighted iterated Hardy-type inequalities
• Necessary and sufficient conditions for boundedness of the Hardy-type operator from a weighted Lebesgue space to a Morrey-type space
• On iterated and bilinear integral Hardy-type operators
• Some new iterated Hardy-type inequalities and applications
• Weighted weak-type iterated and bilinear Hardy inequalities
• On bilinear Hardy inequality and corresponding geometric mean inequality
• New characterization of weighted inequalities involving superposition of Hardy integral operators

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