Björn, Jana and Buckley, Stephen M. and Keith, Stephen (2006) Admissible measures in one dimension. Proceedings of the American Mathematical Society, 134 (3). pp. 703-705. ISSN 1088-6826
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Official URL: http://www.ams.org/proc/2006-134-03/S0002-9939-05-...
Abstract
In this note we show that p-admissible measures in one dimension (i.e. doubling measures admitting a p-Poincar´e inequality) are precisely the Muckenhoupt Ap-weights.
| Item Type: | Article |
|---|---|
| Additional Information: | First published in Proceedings of the American Mathematical Society Vol. 134, Iss. 3, 2006, published by the American Mathematical Society. http://www.ams.org/proc/2006-134-03/S0002-9939-05-07925-6/S0002-9939-05-07925-6.pdf |
| Keywords: | Admissible measure; Muckenhoupt $A_p$-weight; Doubling measure; Poincar\'e inequality. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1580 |
| Identification Number: | https://doi.org/10.1090/S0002-9939-05-07925-6 |
| Depositing User: | Prof. Stephen Buckley |
| Date Deposited: | 13 Oct 2009 16:27 |
| Journal or Publication Title: | Proceedings of the American Mathematical Society |
| Publisher: | American Mathematical Society |
| Refereed: | Yes |
| URI: | |
| 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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