Admissible measures in one dimension


Björn, Jana and Buckley, Stephen 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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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: 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:

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