Strong A-infinity weights, Besov and Sobolev capacities in metric measure spaces

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dc.creatorCostea, Serban
dc.date2008-07-16
dc.date.accessioned2026-07-07T09:50:40Z
dc.date.available2026-07-07T09:50:40Z
dc.descriptionThis article studies strong A-infinity weights in Ahlfors Q-regular and geodesic metric spaces satisfying a weak (1,s)-Poincare inequality for some 1<s<=Q, where Q is finite. It is shown that whenever max(1,Q-1)<s<=Q, a function u yields a strong A-infinity weight of the form w=exp(Qu) if u has a minimal s-weak upper gradient with sufficiently small Morrey norm. Similarly, it is proved that if 1<Q<p for some finite p, then w=exp(Qu) is a strong A-infinity weight whenever u has sufficiently small Besov p-seminorm.
dc.descriptionv1: 18 pages
dc.identifierhttps://arxiv.org/abs/0807.2482
dc.identifierhttp://arxiv.org/abs/0807.2482
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165018
dc.subjectAnalysis of PDEs
dc.subject30C99
dc.titleStrong A-infinity weights, Besov and Sobolev capacities in metric measure spaces
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