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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.

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.
Subjects:Science & Engineering > Mathematics
ID Code:1580
Deposited By:Prof. Stephen Buckley
Deposited On:13 Oct 2009 17:27
Journal or Publication Title:Proceedings of the American Mathematical Society
Publisher:American Mathematical Society
Refereed:Yes
URL:http://www.ams.org/proc/

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