In this note we provide an elementary characterization of the functions satisfying a reverse Holder inequality with increasing supports in the sense of Giaquinta and Modica (in J. Reine Angew. Math. 311/312 ( 1979), 145-169). The result involves a variant of the usual A(infinity) weights conditions which holds true also for nondoubling measures. From this equivalence we derive a simple "compactness-driven" higher integrability criterion.
Nondoubling A∞ weights / Spadaro, Emanuele Nunzio. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 5:3(2012), pp. 345-354. [10.1515/ACV.2011.019]
Nondoubling A∞ weights
Emanuele Spadaro
2012
Abstract
In this note we provide an elementary characterization of the functions satisfying a reverse Holder inequality with increasing supports in the sense of Giaquinta and Modica (in J. Reine Angew. Math. 311/312 ( 1979), 145-169). The result involves a variant of the usual A(infinity) weights conditions which holds true also for nondoubling measures. From this equivalence we derive a simple "compactness-driven" higher integrability criterion.File allegati a questo prodotto
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