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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.
| 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 |
| Related URLs: | |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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