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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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    Official URL: http://www.ams.org/proc/2006-134-03/S0002-9939-05-...


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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: 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:

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