Buckley, Stephen M.
Inequalities of John—Nirenberg type in doubling spaces.
Journal d'Analyse Mathématique, 79 (1).
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.
||The original publication is available at http://www.springerlink.com/content/lj963uv0u8226628/fulltext.pdf
||H-chain set; Doubling spaceX; John-Nirenberg type inequality.
||Faculty of Science and Engineering > Mathematics and Statistics
Prof. Stephen Buckley
||21 Oct 2009 11:50
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||Journal d'Analyse Mathématique
||Hebrew University Magnes Press
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