Sobolev functions in the critical case are uniformly continuous in $s$-Ahlfors regular metric spaces when $s \le 1$

Xiaodan Zhou

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arXiv · 1511.06465

Sobolev functions in the critical case are uniformly continuous in $s$-Ahlfors regular metric spaces when $s \le 1$

Xiaodan Zhou

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Abstract

We prove that functions in the Hajłasz-Sobolev space $M^{1,s}$ on an $s$-Ahlfors regular metric space are uniformly continuous when $s\le 1$.

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Xiaodan Zhou. 2015-11-23. Sobolev functions in the critical case are uniformly continuous in $s$-Ahlfors regular metric spaces when $s \le 1$. https://arxiv.org/abs/1511.06465

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