Relative isoperimetric inequalities and sufficient conditions for finite perimeter on metric spaces |
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| Authors: | Riikka Korte Panu Lahti |
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| Institution: | 1. Department of Mathematics and Statistics, PO Box 68, FI-00014, University of Helsinki, Finland;2. Department of Mathematics, PO Box 11100, FI-00076, Aalto University, Finland |
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| Abstract: | We study equivalence between the Poincaré inequality and several different relative isoperimetric inequalities on metric measure spaces. We then use these inequalities to establish sufficient conditions for the finite perimeter of sets. |
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| Keywords: | 28A12 26A45 30L99 |
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