Carleson measures and the BMO space on the p -adic vector space

DOI10.1002/mana.200610806zbMath1227.42025OpenAlexW2094683997MaRDI QIDQ3181993

Yong-Cheol Kim

Publication date: 1 October 2009

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610806

zbMATH Keywords

Carleson measuresBMO space\(p\)-adic vector space

Mathematics Subject Classification ID

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 (13)

P-adic weak central Morrey spaces on differential forms ⋮ Boundedness for commutators of fractional \(p\)-adic Hardy operators ⋮ Sharp bound of m-linear n-dimensional p-adic Hausdorff operators on p-adic Morrey spaces ⋮ Boundedness for commutators of rough \(p\)-adic fractional Hardy type operators ⋮ \(H^1\), BMO, and John-Nirenberg inequality on LCA groups ⋮ Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators ⋮ Boundedness of \(p\)-adic Hardy operators and their commutators on \(p\)-adic central Morrey and BMO spaces ⋮ CHARACTERIZATIONS OF p-ADIC CENTRAL CAMPANATO SPACES VIA COMMUTATOR OF p-ADIC HARDY TYPE OPERATORS ⋮ Hardy-Littlewood-Sobolev inequalities on \(p\)-adic central Morrey spaces ⋮ Sharp bounds for generalized \(m\)-linear \(n\)-dimensional \(p\)-adic Hardy-Littlewood-Pólya operator ⋮ Bounds of \(p\)-adic weighted Hardy-Cesàro operators and their commutators on \(p\)-adic weighted spaces of Morrey types ⋮ Weighted \(p\)-adic Hardy operators and their commutators on \(p\)-adic central Morrey spaces ⋮ Sharp estimates of \(m\)-linear \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators

Cites Work

• Unnamed Item
• Riesz potentials and explicit sums in arithmetic
• Analytic potential theory over the \(p\)-adics
• On the \(L^ p\)-bounds for maximal functions associated to convex bodies in \({\mathbb{R}}^ n\)
• An almost-orthogonality principle with applications to maximal functions associated to convex bodies
• On High Dimensional Maximal Functions Associated to Convex Bodies

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