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

2015/11/20 by Zhou, Xiaodan
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1511.06465

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≤ 1.

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