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Pseudo differential operators on local Hardy spaces on chébli-teimèche hypergroups

Part of: Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

Walter R. Bloom  and
Zengfu Xu
Walter R. Bloom
Affiliation:
Division of Science and Engineering Murdoch University Perth WA 6150 Australia e-mail: bloom@murdoch.edu.au
Zengfu Xu
Affiliation:
Division of Science and Engineering Murdoch University Perth WA 6150 Australia e-mail: zengfu@starwon.com.au
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Abstract

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In this paper we consider pseudo differential operators on local Hardy spaces hp (0 < p ≤ 1) on Chébli-Trimèche hypergroups of exponential growth.

Keywords

Pseudo differential operatorHardy spacehypergroup.

MSC classification

Secondary: 43A62: Hypergroups 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc. 43A32: Other transforms and operators of Fourier type
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 68 , Issue 2 , April 2000 , pp. 202 - 230
Copyright
Copyright © Australian Mathematical Society 2000

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