Accessible parts of the boundary for domains in metric measure spaces

2021/03/27 by Gibara, Ryan, Korte, Riikka
#FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2103.14775

Abstract

We prove in the setting of Q--Ahlfors regular PI--spaces the following result: if a domain has uniformly large boundary when measured with respect to the s--dimensional Hausdorff content, then its visible boundary has large t--dimensional Hausdorff content for every 0

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