Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type
type: Item
instance of: scholarly article
title: Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type
zbMATH Open document ID: 0892.43005
author: Bruno Franchi
author: Carlos Pérez
author: R. L. Wheeden
published in: Journal of Functional Analysis
publication date: 1998-08-03T00:00:00Z
review text: The authors consider inequalities of the form \[ \underset{\mu(B)}\bot \int_B| f-f_B| d\mu\leq ca(B)\quad\text{and} \quad \underset{\mu(B)}\bot \int_B | f-f_B| d\mu\leq cb(B,f). \] In either case \(\mu\) is a measure and \(\mu(B)\) denotes the \(\mu\)-measure of \(B\). The main goal of this paper is to show that under certain conditions of geometric type on the functionals \(a\) and \(b\) both inequalities encode an intrinsic \(L^r\) self-improving property.
reviewed by: Bolis Basit
Mathematics Subject Classification ID: 43A85
zbMATH DE Number: 1130498
zbMATH Keywords: self-improving properties of John-Nirenberg
zbMATH Keywords: Poincaré inequalities
zbMATH Keywords: spaces of homogeneous type
MaRDI profile type: Publication
full work available at URL: jfan.1997.3175
OpenAlex ID: W2150698352
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Wikidata QID: Q125588992
DOI: 10.1006/JFAN.1997.3175
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description: scientific article; zbMATH DE number 1130498