Riesz Potential and Maximal Function for Dunkl transform

被引：0
作者：
D. V. Gorbachev
V. I. Ivanov
S. Yu. Tikhonov
机构：
[1] Tula State University,Department of Applied Mathematics and Computer Science
[2] Centre de Recerca Matemàtica,undefined
[3] ICREA,undefined
[4] and Universitat Autònoma de Barcelona,undefined
来源：
Potential Analysis | 2021年 / 55卷
关键词：
Dunkl transform; Generalized translation operator; Convolution; Riesz potential; 42B10; 33C45; 33C52;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study weighted (Lp, Lq)-boundedness properties of Riesz potentials and fractional maximal functions for the Dunkl transform. In particular, we obtain the weighted Hardy–Littlewood–Sobolev type inequality and weighted week (L1, Lq) estimate. We find a sharp constant in the weighted Lp-inequality, generalizing the results of W. Beckner and S. Samko.
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页码：513 / 538
页数：25
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