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RESEARCH PRODUCT

Extensions and Imbeddings

Pekka Koskela

subject

Discrete mathematicsSobolev spacePure mathematicsMathematics::Functional AnalysisProperty (philosophy)Mathematics::Analysis of PDEsExtension (predicate logic)AnalysisConnection (mathematics)Sobolev inequalityMathematics

description

AbstractWe establish a connection between the Sobolev imbedding theorem and the extendability of Sobolev functions. As applications we give geometric criteria for extendability and give a result on the dependence of the extension property on the exponentp.

10.1006/jfan.1998.3331http://dx.doi.org/10.1006/jfan.1998.3331