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Fourier Multipliers for L p on Chébli–Trimèche Hypergroups
Author(s) -
Bloom Walter R.,
Xu Zengfu
Publication year - 2000
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611500012326
Subject(s) - mathematics , multiplier (economics) , fourier transform , mathematics subject classification , combinatorics , pure mathematics , mathematical analysis , economics , macroeconomics
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.