6533b7dafe1ef96bd126f5e2

RESEARCH PRODUCT

Quasiadditivity of Variational Capacity

Nageswari ShanmugalingamJuha Lehrbäck

subject

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_common

description

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.

yearjournalcountryeditionlanguage
2013-05-31Potential Analysis
https://doi.org/10.1007/s11118-013-9348-7