Discrete diffusion semigroups associated with Dunkl-Jacobi and exceptional Jacobi polynomials

2020/07/11 by Á. P. Horváth, Horváth, Á. P.
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.2007.05691

arxiv created 2020/07/11 · arxiv updated 2020/07/14

Abstract

Some weighted inequalities for the maximal operator with respect to the discrete diffusion semigroups associated with exceptional Jacobi and Dunkl-Jacobi polynomials are given. This setup allows to extend the corresponding results obtained for discrete heat semigroup recently to richer class of differential-difference operators.

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