Variable exponent Lebesgue spaces and Hardy-Littlewood maximal function on \(p\)-adic numbers

DOI10.1134/S2070046620020028zbMath1451.42025OpenAlexW3025543462MaRDI QIDQ779743

Leonardo Fabio Chacón-Cortés, Humberto Rafeiro

Publication date: 14 July 2020

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046620020028

zbMATH Keywords

variable exponent function spaces, \(p\)-adic analysis, Hardy-Littlewood maximal function

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) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10)

Related Items

Commutators of Hardy-Littlewood operators on \(p\)-adic function spaces with variable exponents ⋮ Characterization of Lipschitz spaces via commutators of fractional maximal function on the \(p\)-adic variable exponent Lebesgue spaces ⋮ Fractional operators in \(p\)-adic variable exponent Lebesgue spaces and application to \(p\)-adic derivative

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