Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-26T19:52:32.079Z Has data issue: false hasContentIssue false

FOURIER MULTIPLIERS FOR Lp ON CHÉBLI–TRIMÈCHE HYPERGROUPS

Published online by Cambridge University Press:  20 August 2001

WALTER R. BLOOM
Affiliation:
Division of Science and Engineering, Murdoch University, Perth, WA 6150, Australia, [email protected], [email protected]
ZENGFU XU
Affiliation:
Division of Science and Engineering, Murdoch University, Perth, WA 6150, Australia, [email protected], [email protected]
Get access

Abstract

In this paper we consider Fourier multipliers for $L^p$ $(p>1)$ on Chébli-Trimèche hypergroups and establish a version of Hörmander's multiplier theorem. As applications we give some results concerning the Riesz potentials and oscillating multipliers.

1991 Mathematics Subject Classification: 43A62, 43A15, 43A32.

Type
Research Article
Copyright
1999 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)