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

Xiaodan Zhou

Journal ArticleOPEN ACCESS

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

Zhou X

Proceedings of the American Mathematical Society (2016) 145(1) 267-272

DOI: 10.1090/proc/13220

2Citations

5Readers

Abstract

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

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APA

Zhou, X. (2016). Sobolev functions in the critical case are uniformly continuous in $s$-Ahlfors regular metric spaces when $s\le 1$. Proceedings of the American Mathematical Society, 145(1), 267–272. https://doi.org/10.1090/proc/13220

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

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