• THE KUNZE-STEIN PHENOMENON ASSOCIATED WITH CHÉBLI-TRIMÈCHE CONVOLUTION OPERATORS

Abdessalem Gasmi*

Abstract


In 2005 Jianming Liu (see [5]) established the endpoint estimate for the Kunze-Stein phenomenon in Lorentz spaces associated with Jacobi convolution operators. Since Chébli-Trimèche convolution operators generalize the Jacobi convolution operators, then it is natural to consider Kunze-Stein phenomenon associated with Chébli-Trimèche convolution operators this is the objective of this paper.

Keywords


Jacobi convolution operators, Chébli-Trimèche hypergroups, Lorentz spaces, Kunze-Stein phenomenon.

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