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    Inequalities of John—Nirenberg type in doubling spaces

    Buckley, Stephen M. (1999) Inequalities of John—Nirenberg type in doubling spaces. Journal d'Analyse Mathématique, 79 (1). pp. 215-240. ISSN 1565-8538

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    The concept of an H-chain set in a doubling spaceX, which generalizes that of a Hölder domain in Euclidean space, is defined and investigated. We show that every H-chain set is mean porous and that its outer layer has measure bounded by a power of its thickness. As a consequence, we show that a John-Nirenberg type inequality holds on an open subset Ω ofX if, and often only if, Ω is an H-chain set.

    Item Type: Article
    Additional Information: The original publication is available at
    Keywords: H-chain set; Doubling spaceX; John-Nirenberg type inequality.
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 1612
    Identification Number:
    Depositing User: Prof. Stephen Buckley
    Date Deposited: 21 Oct 2009 11:50
    Journal or Publication Title: Journal d'Analyse Mathématique
    Publisher: Hebrew University Magnes Press
    Refereed: No
    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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