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arXiv · 2204.11612

Characterizations of variable fractional Haj{\l}asz-Sobolev spaces

Xiaosi Zhang·Qi Sun
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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.

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Xiaosi Zhang, Qi Sun. 2022-04-22. Characterizations of variable fractional Haj{\l}asz-Sobolev spaces. https://arxiv.org/abs/2204.11612

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