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

DOI10.1090/proc/13220zbMath1360.30048arXiv1511.06465OpenAlexW2963368101MaRDI QIDQ2832826

Xiaodan Zhou

Publication date: 14 November 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06465

zbMATH Keywords

Sobolev spaces\(s\)-Ahlfors regular metric spacesHajłasz spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99)

Related Items

A discontinuous Sobolev function exists

Cites Work

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