Approximation by uniform domains in doubling quasiconvex metric spaces

2020/01/06 by Rajala, Tapio · 2 citations
#26B30 #FOS: Mathematics #Metric Geometry (math.MG) #Primary 30L99. Secondary 46E35

paper · doi:10.48550/arxiv.2001.01514

Abstract

We show that any bounded domain in a doubling quasiconvex metric space can be approximated from inside and outside by uniform domains.

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• Density problem for Sobolev spaces on Gehring Hayman domains with the ball separation condition in metric measure spaces
• Infinity thick quasiconvexity and applications

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