Characterizations of variable fractional Haj{\l}asz-Sobolev spaces
Functional Analysis
2022-04-26 v1 Classical Analysis and ODEs
Abstract
Let (X, \r{ho},\mu) be a space of homogeneous type, a variable exponent satisfying the globally log-Holder continuous condition. In this article, the author introduce the variable fractional Sobolev spaces on X via Haj{\l}asz gradient. Using various maximal functions, several characterizations of this space are established.
Keywords
Cite
@article{arxiv.2204.11612,
title = {Characterizations of variable fractional Haj{\l}asz-Sobolev spaces},
author = {Xiaosi Zhang and Qi Sun},
journal= {arXiv preprint arXiv:2204.11612},
year = {2022}
}