Sharp Bound for the Generalized $m$-Linear $n$-Dimensional Hardy-Littlewood-Pόlya Operator

DOI10.4208/ata.OA-2020-0039OpenAlexW4322761957MaRDI QIDQ5882447

Yan, Dunyan, Qianjun He, Ming-quan Wei

Publication date: 16 March 2023

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/ata.oa-2020-0039

zbMATH Keywords

Morrey spacesharp boundHausdorff operatorpower weight\(n\)-dimensional Hardy-Littlewood-Pólya operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Inequalities for sums, series and integrals (26D15)

Related Items (1)

Sharp bound of m-linear n-dimensional p-adic Hausdorff operators on p-adic Morrey spaces

Cites Work

• Unnamed Item
• Sharp estimates of \(m\)-linear \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators
• Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels
• Spaces of bounded \(\lambda\)-central mean oscillation, Morrey spaces, and \(\lambda\)-central Carleson measures
• Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators
• Equivalent conditions of a Hilbert-type multiple integral inequality holding
• Best constants for certain multilinear integral operators
• Sharp bounds for m-linear Hilbert-type operators on the weighted Morrey spaces

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