6533b7d6fe1ef96bd1265e03

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Approximation by uniform domains in doubling quasiconvex metric spaces

Tapio Rajala

subject

Pure mathematicsPrimary 30L99. Secondary 46E35 26B30Algebraic geometry01 natural sciencesDomain (mathematical analysis)funktioteoriaQuasiconvex functionMathematics::Group TheoryquasiconvexityMathematics - Metric Geometry0103 physical sciencesFOS: Mathematics0101 mathematicsuniform domainComputer Science::DatabasesMathematicsPartial differential equationFunctional analysis010102 general mathematicsMetric Geometry (math.MG)General Medicinemetriset avaruudetMetric spaceBounded functionSobolev extension010307 mathematical physicsfunktionaalianalyysi

description

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

yearjournalcountryeditionlanguage
2020-01-06
https://dx.doi.org/10.48550/arxiv.2001.01514