Multipliers of Marcinkiewicz type for spherical harmonic expansions (Q1352332)
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scientific article; zbMATH DE number 978033
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multipliers of Marcinkiewicz type for spherical harmonic expansions |
scientific article; zbMATH DE number 978033 |
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Multipliers of Marcinkiewicz type for spherical harmonic expansions (English)
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8 February 1998
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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)].
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\(L^ p\)-boundedness
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multiplier transformations
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spherical harmonics expansions
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0.8997656
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0.8791889
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0.87432814
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0.8742963
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0.87240314
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