Hardy inequalities for simply connected planar domains

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In 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.
9 pages

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Functional Analysis, Complex Variables, 26D15; 30C45

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http://salesiana.dossiersoluciones.com/handle/123456789/110200

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603362
 http://arxiv.org/abs/math/0603362

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arXiv