arXiv:0709.1097 Abstract | arXiv Analytics

Published 2007-09-07, updated 2008-01-14Version 2

We present isocapacitary characterizations of Sobolev inequalities in very general metric measure spaces.

Comments: 17 pages, corrected typos

Journal: J. Math. Anal. Appl., 334(2), 1093-1103, 2008

DOI: 10.1016/j.jmaa.2008.03.070

Categories: math.AP, math.FA

Subjects: 46E35, 31C45

Keywords: sobolev inequalities, metric spaces, general metric measure spaces, isocapacitary characterizations

Tags: journal article

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