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Fourier Multipliers For Local Hardy Spaces On Chébli-Trimèche Hypergroups

Published online by Cambridge University Press:  20 November 2018

Walter R. Bloom  and
Zengfu Xu
Walter R. Bloom
Affiliation:
Division of Science, Murdoch University, Perth, WA 6150, Australia email: bloom@murdoch.edu.au, engfu@murdoch.edu.au
Zengfu Xu
Affiliation:
Division of Science, Murdoch University, Perth, WA 6150, Australia email: bloom@murdoch.edu.au, engfu@murdoch.edu.au
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Abstract

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In this paper we consider Fourier multipliers on local Hardy spaces ${{\mathbf{h}}^{\mathbf{p}}}(0<p\le 1)$ for Chébli-Trimèche hypergroups. The molecular characterization is investigated which allows us to prove a version of Hörmander’s multiplier theorem.

Keywords

43A6243A1543A32Fourier multipliersHardy spaceshypergroup
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 5 , 01 October 1998 , pp. 897 - 928
Copyright
Copyright © Canadian Mathematical Society 1998

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