Multipliers of weak type on locally compact Vilenkin groups

DOI10.1090/S0002-9939-96-03365-5zbMath0864.43003OpenAlexW1537548237MaRDI QIDQ4714682

Tong-Seng Quek

Publication date: 22 June 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03365-5

zbMATH Keywords

Fourier transformlocally compact Abelian groupVilenkin groupdyadic group\(L^ p(G)\)-multipliers

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) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (3)

Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups ⋮ An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups ⋮ Some problems in the theory of approximation of functions on locally compact Vilenkin groups

Cites Work

• Unnamed Item
• Variants of the Calderón-Zygmund theory for \(L^ p\)-spaces
• Variants of Littlewood-Paley theory
• On \(L^ p\)-multipliers of mixed-norm type
• Fourier Analysis on Local Fields. (MN-15)
• Weak-strong convolution operators on certain disconnected groups
• $L^{p}$-multiplier theorems

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