Title of article
Comparisons of relative BV-capacities and Sobolev capacity in metric spaces Original Research Article
Author/Authors
Heikki Hakkarainen، نويسنده , , Nageswari Shanmugalingam، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
19
From page
5525
To page
5543
Abstract
We study relations between the variational Sobolev 1-capacity and versions of variational BV-capacity in a complete metric space equipped with a doubling measure and supporting a weak (1,1)(1,1)-Poincaré inequality. We prove the equality of 1-modulus and the continuous 1-capacity, extending the known results for 1
Keywords
Capacity , Sobolev space , Analysis on metric measure spaces , Functions of bounded variation
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2011
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
863333
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