Hardy inequalities for simply connected planar domains

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dc.creatorLaptev, Ari
dc.creatorSobolev, Alexander V.
dc.date2006-03-15
dc.date.accessioned2026-07-07T07:06:55Z
dc.date.available2026-07-07T07:06:55Z
dc.descriptionIn 1986 A. Ancona showed, using the Koebe one-quarter Theorem, that for a simply-connected planar domain the constant in the Hardy inequality with the distance to the boundary is greater than or equal to 1/16. In this paper we consider classes of domains for which there is a stronger version of the Koebe Theorem. This implies better estimates for the constant appearing in the Hardy inequality.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0603362
dc.identifierhttp://arxiv.org/abs/math/0603362
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110200
dc.subjectFunctional Analysis
dc.subjectComplex Variables
dc.subject26D15; 30C45
dc.titleHardy inequalities for simply connected planar domains
dc.typetext

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