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FOURIER MULTIPLIERS FOR Lp ON CHÉBLI–TRIMÈCHE HYPERGROUPS

  • WALTER R. BLOOM (a1) and ZENGFU XU (a1)

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.

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FOURIER MULTIPLIERS FOR Lp ON CHÉBLI–TRIMÈCHE HYPERGROUPS

  • WALTER R. BLOOM (a1) and ZENGFU XU (a1)

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