Two-weight estimates for Hardy-Littlewood maximal functions and Hausdorff operators on $p$-adic Herz spaces

DOI10.4213/im9404eOpenAlexW4388657471MaRDI QIDQ6072015

Dao Van Duong, Kieu Huu Dung

Publication date: 29 November 2023

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

Full work available at URL: http://mathnet.ru/eng/im9404

zbMATH Keywords

atomHardy-Littlewood maximal operatorHardy operatorHausdorff operator\(p\)-adic analysisHerz space

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) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38) (p)-adic theory, local fields (11F85)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous Herz spaces and regularity results
• Radial solutions of non-Archimedean pseudodifferential equations
• Hausdorff operators on function spaces
• Maximal functions and weighted norm inequalities on local fields
• Estimates of weighted Hardy--Littlewood averages on the \(p\)-adic vector space
• On \(p\)-adic mathematical physics
• Riesz potentials and explicit sums in arithmetic
• Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space
• Multidimensional Hausdorff operator on \(p\)-adic field
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• The decomposition of Herz spaces on local fields and its applications
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators
• Weighted Herz space estimates for Hausdorff operators on the Heisenberg group
• Weighted Triebel-Lizorkin and Herz spaces estimates for p-adic Hausdorff type operator and its applications
• Weighted estimates for maximal operators, Riesz potential operators and commutators on \(p\)-adic Lebesgue and Morrey spaces
• Some estimates for \(p\)-adic rough multilinear Hausdorff operators and commutators on weighted Morrey-Herz type spaces
• The Cauchy problem for a class of pseudodifferential equations over \(p\)-adic field
• Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems
• Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics
• Hilbert transforms for the p-adic and p-series fields
• Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent
• p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
• Pseudodifferential Operators and Wavelets over Real and p-adic Fields
• ON A <i>P</i>-ADIC HILBERT-TYPE INTEGRAL OPERATOR AND ITS APPLICATIONS
• Herz spaces and summability of Fourier transforms
• Boundedness of some sublinear operators in weighted Herz-type spaces

This page was built for publication: Two-weight estimates for Hardy-Littlewood maximal functions and Hausdorff operators on $p$-adic Herz spaces