Sharp estimates of \(m\)-linear \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators

DOI10.1155/2011/472176zbMath1221.47146OpenAlexW2021113503WikidataQ58690433 ScholiaQ58690433MaRDI QIDQ555002

Qing Yan Wu, Zun Wei Fu

Publication date: 22 July 2011

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/472176

zbMATH Keywords

\(m\)-linear \(p\)-adic Hardy operatorsLebesgue spaces with power weights

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Inequalities involving derivatives and differential and integral operators (26D10) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (8)

Sharp Bound for the Generalized $m$-Linear $n$-Dimensional Hardy-Littlewood-Pόlya Operator ⋮ Multilinear Hausdorff operator on \(p\)-adic functional spaces and its applications ⋮ Sharp estimates for the \(p\)-adic Hardy type operators on higher-dimensional product spaces ⋮ Sharp bound of m-linear n-dimensional p-adic Hausdorff operators on p-adic Morrey spaces ⋮ Weighted multilinear \(p\)-adic Hardy operators and commutators ⋮ Sharp bounds for generalized \(m\)-linear \(n\)-dimensional \(p\)-adic Hardy-Littlewood-Pólya operator ⋮ Multidimensional Hausdorff operators and commutators on Herz-type spaces ⋮ Sharp estimates for m-linear p-adic Hardy and Hardy-Littlewood-Pólya operators on p-adic central Morrey spaces

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