Variable exponent Sobolev spaces associated with Jacobi expansions
Classical Analysis and ODEs
2023-10-25 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1410.3642,
title = {Variable exponent Sobolev spaces associated with Jacobi expansions},
author = {V. Almeida and J. J. Betancor and A. J. Castro and A. Sanabria and R. Scotto},
journal= {arXiv preprint arXiv:1410.3642},
year = {2023}
}
Comments
30 pages, small typos corrected in the introduction