Singular integrals in the rational Dunkl setting

2019/10/14 by Dziubański, Jacek, Hejna, Agnieszka
#42B25 #47G10 #FOS: Mathematics #Functional Analysis (math.FA) #primary: 42B20 #secondary 47B38

paper · doi:10.48550/arxiv.1910.06433

Abstract

On \mathbb R^N equipped with a normalized root system R and a multiplicity function k≥ 0 let us consider a (non-radial) kernel K(\mathbf x) which has properties similar to those from the classical theory. We prove that a singular integral Dunkl convolution operator associated with the kernel K is bounded on L^p for 1

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