
arXiv: 2001.01514
AbstractWe show that any bounded domain in a doubling quasiconvex metric space can be approximated from inside and outside by uniform domains.
Primary 30L99. Secondary 46E35, 26B30, ta111, Metric Geometry (math.MG), metriset avaruudet, Absolutely continuous real functions of several variables, functions of bounded variation, funktioteoria, quasiconvexity, Analysis on metric spaces, Mathematics - Metric Geometry, Sobolev extension, FOS: Mathematics, Matematiikka, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, funktionaalianalyysi, doubling quasiconvex metric spaces, uniform domain, Mathematics
Primary 30L99. Secondary 46E35, 26B30, ta111, Metric Geometry (math.MG), metriset avaruudet, Absolutely continuous real functions of several variables, functions of bounded variation, funktioteoria, quasiconvexity, Analysis on metric spaces, Mathematics - Metric Geometry, Sobolev extension, FOS: Mathematics, Matematiikka, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, funktionaalianalyysi, doubling quasiconvex metric spaces, uniform domain, Mathematics
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