Riesz transform and Riesz potentials for Dunkl transform

Details Riesz transform and Riesz potentials for Dunkl transform Riesz transform and Riesz potentials for Dunkl transform

2004-12-01

arxiv.org/abs/math/0412037v1

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

Analogous of Riesz potentials and Riesz transforms are defined and studied
for the Dunkl transform associated with a family of weighted functions that are
invariant under a reflection group. The $L^p$ boundedness of these operators is
established in certain cases.

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