Riesz transform and Riesz potentials for Dunkl transform

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摘要

Analogues of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weight functions that are invariant under a reflection group. The Lp boundedness of these operators is established in certain cases.

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论文评审过程:Received 29 November 2004, Revised 25 February 2005, Available online 25 January 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2005.02.022