The \(p\)-adic Hausdorff operator and some applications to Hardy-Hilbert type inequalities

DOI10.1134/S1061920821030043zbMath1477.42015OpenAlexW3200004199MaRDI QIDQ2239358

Dao Van Duong, Kieu Huu Dung

Publication date: 3 November 2021

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920821030043

zbMATH Keywords

\(p\)-adic Littlewood Pólya operator\(p\)-adic matrix Hausdorff operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (4)

Some new weighted estimates for \(p\)-adic multilinear Hausdorff type operator and its commutators on Morrey-Herz spaces ⋮ Multilinear Hausdorff operator on \(p\)-adic functional spaces and its applications ⋮ Weighted inequalities for commutators of \(p\)-adic Hausdorff operators on Herz spaces ⋮ Some estimates for rough Hausdorff operators on the Heisenberg group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(p\)-adic weighted Hardy-Cesàro operators on weighted Morrey-Herz space
• Bounds for the weighted Hardy-Cesàro operator and its commutator on Morrey-Herz type spaces
• Hausdorff operators on \(p\)-adic linear spaces and their properties in Hardy, \(BMO\), and Hölder spaces
• Weighted Hardy-Littlewood operators and commutators on \(p\)-adic functional spaces
• Radial solutions of non-Archimedean pseudodifferential equations
• Estimates of weighted Hardy--Littlewood averages on the \(p\)-adic vector space
• On \(p\)-adic mathematical physics
• Theory of function spaces
• Multidimensional Hausdorff operator on \(p\)-adic field
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• Weighted Lebesgue and central Morrey estimates for \(p\)-adic multilinear Hausdorff operators and their commutators
• Weighted Morrey-Herz space estimates for rough Hausdorff operator and its commutators
• Hausdorff operator and commutator on weighted Morrey-Herz spaces on \(p\)-adic fields
• Hausdorff operator on weighted Lebesgue and grand Lebesgue \(p\)-adic spaces
• Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces
• Some estimates for \(p\)-adic rough multilinear Hausdorff operators and commutators on weighted Morrey-Herz type spaces
• Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems
• Convolutions and general transforms on \(L^ p\)
• The Hausdorff Mean of a Fourier-Stieltjes Transform
• Pseudodifferential Operators and Wavelets over Real and p-adic Fields
• ON A <i>P</i>-ADIC HILBERT-TYPE INTEGRAL OPERATOR AND ITS APPLICATIONS
• Pseudodifferential operators on ultrametric spaces and ultrametric wavelets
• Multidimensional Hausdorff operators on the real Hardy space
• Weighted Norm Inequalities for the Hardy Maximal Function

This page was built for publication: The \(p\)-adic Hausdorff operator and some applications to Hardy-Hilbert type inequalities