Wavelet bases in the Lebesgue spaces on the field of \(p\)-adic numbers

DOI10.1134/S2070046613020027zbMath1322.46014MaRDI QIDQ2263121

Dao Van Duong, Nguyen Minh Chuong

Publication date: 17 March 2015

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

zbMATH Keywords

Schauder basisunconditional convergencegreedy basis\(p\)-adic wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (6)

The \(p\)-adic weighted Hardy-Cesàro operators on weighted Morrey-Herz space ⋮ Weighted Hardy-Littlewood operators and commutators on \(p\)-adic functional spaces ⋮ Some estimates for \(p\)-adic rough multilinear Hausdorff operators and commutators on weighted Morrey-Herz type spaces ⋮ Weighted multilinear \(p\)-adic Hardy-Cesàro operators and commutators on \(p\)-adic weighted Morrey-Herz spaces ⋮ Weighted estimates for maximal operators, Riesz potential operators and commutators on \(p\)-adic Lebesgue and Morrey spaces ⋮ Characterization of \(p\)-adic weighted central Campanato spaces via \(p\)-adic Hardy operators commutator

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