Journal d’Analyse Mathématique

, Volume 79, Issue 1, pp 215–240 | Cite as

Inequalities of John—Nirenberg type in doubling spaces

  • Stephen M. Buckley


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.


Length Space Doubling Condition Doubling Measure Exponential Integrability Uniform Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© The Magnes Press 1999

Authors and Affiliations

  • Stephen M. Buckley
    • 1
  1. 1.Department of MathematicsNational University of IrelandMaynoothIreland

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