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

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.

References in corpus (5)

• An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
• Harmonic Analysis associated with a discrete Laplacian
• Asymptotic behaviour of zeros of exceptional Jacobi and Laguerre polynomials
• A Bochner type classification theorem for exceptional orthogonal polynomials
• Multiplication operator and exceptional Jacobi polynomials