Search results for " Secondary 46E35"

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Approximation by uniform domains in doubling quasiconvex metric spaces

2020

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

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
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Quasiadditivity of Variational Capacity

2013

We study the quasiadditivity property (a version of superadditivity with a multiplicative constant) of variational capacity in metric spaces with respect to Whitney type covers. We characterize this property in terms of a Mazya type capacity condition, and also explore the close relation between quasiadditivity and Hardy's inequality.

SuperadditivityPure mathematicsProperty (philosophy)Relation (database)Inequalitymetrijärjestelmämedia_common.quotation_subjectmetric spaceHardy's inequalitykapasiteettiType (model theory)Whitney coverFunctional Analysis (math.FA)Mathematics - Functional AnalysisMetric spacePrimary 31E05 31C45 Secondary 46E35 26D15FOS: MathematicsMultiplicative constantAnalysisvariational capacityMathematicsmedia_commonPotential Analysis
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