Ends of metric measure spaces and Sobolev inequalities

Buckley, Stephen M. and Koskela, Pekka (2006) Ends of metric measure spaces and Sobolev inequalities. Mathematische Zeitschrift, 252 (2). pp. 275-285. ISSN 1432-1823

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Abstract

Generalizing work of Li and Wang, we prove sharp volume growth/decay rates for ends of metric measure spaces supporting a (p; p)-Sobolev inequality. A sharp result for (q; p)-Sobolev inequalities is also proved.

Keywords:	Li and Wang; Sharp volume growth/decay rates; Sobolev inequality.
Subjects:	Science & Engineering > Mathematics
ID Code:	1581
Deposited By:	Prof. Stephen Buckley
Deposited On:	13 Oct 2009 17:55
Journal or Publication Title:	Mathematische Zeitschrift
Publisher:	Springer Berlin / Heidelberg
Refereed:	No
URL:	http://www.springerlink.com/content/100443/?p=ead51dac32f24c758dfda6115732eac9&pi=0

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Ends of metric measure spaces and Sobolev inequalities

Abstract