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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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.

Item Type: Article
Keywords: Li and Wang; Sharp volume growth/decay rates; Sobolev inequality.
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 1581
Identification Number: 10.1007/s00209-005-0846-1
Depositing User: Prof. Stephen Buckley
Date Deposited: 13 Oct 2009 16:55
Journal or Publication Title: Mathematische Zeitschrift
Publisher: Springer Berlin / Heidelberg
Refereed: No

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