Characterizations of Sobolev inequalities on metric spaces

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We present isocapacitary characterizations of Sobolev inequalities in very general metric measure spaces.
17 pages, corrected typos

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Analysis of PDEs, Functional Analysis, 46E35; 31C45

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http://salesiana.dossiersoluciones.com/handle/123456789/170038

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.1097
 http://arxiv.org/abs/0709.1097
 J. Math. Anal. Appl., 334(2), 1093-1103, 2008
 doi:10.1016/j.jmaa.2008.03.070

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arXiv