Littlewood-Paley and multiplier theorems on weighted spaces over locally compact Vilenkin groups

DOI10.1006/JMAA.1997.5433zbMath0877.43006OpenAlexW2092948856MaRDI QIDQ1363606

Tong-Seng Quek

Publication date: 8 December 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5433

zbMATH Keywords

Fourier transformmultipliersLittlewood-Paley theoryBanach spaceweighted \(L^ p\) spaceslocally compact Vilenkin groups

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (5)

Multipliers on weighted function spaces over locally compact vilenkin groups ⋮ On spectral synthesis on zero-dimensional Abelian groups ⋮ Littlewood-Paley and pseudo-differential operators on Herz-type spaces over Vilenkin groups ⋮ Calderón-Zygmund operators on Morrey and Hardy-Morrey spaces in locally compact Vilenkin groups ⋮ Approximation by polynomials with respect to multiplicative systems in weighted \(L^p\)-spaces

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