The Fourier transforms of Herz spaces on certain groups

DOI10.1007/BF02349628zbMath0537.43007MaRDI QIDQ792568

C. W. Onneweer

Publication date: 1984

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178182

zbMATH Keywords

Hausdorff-Young inequalitytotally disconnected groupHerz spaceLittlewood-Paley theoremweighted \(L_ p\)-spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (3)

Weighted Triebel‐Lizorkin Spaces on Locally Compact Vilenkin Groups ⋮ Uniform convergence and integrability of multiplicative Fourier transforms ⋮ Fourier transforms of functions in Herz spaces on certain groups

Cites Work

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• The decomposition of Walsh and Fourier series
• Interpolation of Linear Operators
• Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces
• Lipschitz Spaces, Littlewood-Paley Spaces, and Convoluteurs
• A class of multipliers

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