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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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Official URL: http://www.springerlink.com/content/lj963uv0u82266...
Abstract
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 http://www.springerlink.com/content/lj963uv0u8226628/fulltext.pdf |
| 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1612 |
| 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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