Variable exponent Sobolev spaces associated with Jacobi expansions

Abstract

In this paper we define variable exponent Sobolev spaces associated with Jacobi expansions. We prove that our generalized Sobolev spaces can be characterized as variable exponent potential spaces and as variable exponent Triebel-Lizorkin type spaces.

30 pages, small typos corrected in the introduction

Cited by in corpus (1)

• Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions