Multipliers of Marcinkiewicz type for spherical harmonic expansions
type: Item
instance of: scholarly article
title: Multipliers of Marcinkiewicz type for spherical harmonic expansions
zbMATH Open document ID: 0880.42006
published in: Science in China. Series A
publication date: 1998-02-08T00:00:00Z
review text: The authors prove \(L^p\)-boundedness of multiplier transformations for spherical harmonics expansions. The hypotheses in the current paper are more restrictive than the hypotheses in some previous papers on the same subject. This can be seen by applying the Sobolev imbedding theorem and a result of \textit{G. Gasper} and \textit{W. Trebels} [Stud. Math. 65, 243-278 (1979; Zbl 0436.42005)].
Mathematics Subject Classification ID: 42B15
zbMATH DE Number: 978033
zbMATH Keywords: \(L^ p\)-boundedness
zbMATH Keywords: multiplier transformations
zbMATH Keywords: spherical harmonics expansions
author: Shanzhen Lu
author: Bolin Ma
reviewed by: Andreas Seeger
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 978033