Besov-type spaces for the Dunkl operator on the real line

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摘要

In this paper we shall introduce functions spaces as subspaces of Lp that we call Besov–Dunkl spaces. We provide characterizations of these spaces involving Bochner–Riesz means associated to the Dunkl operator and partial Dunkl integrals.

论文关键词：44A15,44A35,46E30,Dunkl operator,Dunkl transform,Bochner–Riesz means,Partial Dunkl integrals,Besov–Dunkl spaces

论文评审过程：Received 16 October 2004, Revised 27 June 2005, Available online 10 January 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2005.06.054