Riesz transform and Riesz potentials for Dunkl transform

Riesz transform and Riesz potentials for Dunkl transform
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DOI:
10.1016/j.cam.2005.02.022
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发表时间:
2004-12
影响因子:
2.4
通讯作者:
S. Thangavelu;Yuan Xu
S. Thangavelu;Yuan Xu
中科院分区:
数学2区
文献类型:
--
作者:
S. Thangavelu;Yuan Xu

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Riesz势和Riesz变换的类似物的定义和研究的Dunkl变换与一个家庭的权函数是不变的反射群。在某些情况下,这些运营商的Lp有界性。
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 Lpboundedness of these operators is established in certain cases.