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: 10.1007/BF02788242
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

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