A Universal Lipschitz Extension Property of Gromov Hyperbolic Spaces

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dc.creatorBrudnyi, A.
dc.creatorBrudnyi, Yu.
dc.date2006-01-10
dc.date.accessioned2026-07-07T06:58:42Z
dc.date.available2026-07-07T06:58:42Z
dc.descriptionA metric space has the universal Lipschitz extension property if for each subspace S embedded quasi-isometrically into an arbitrary metric space M there exists a continuous linear extension of Banach-valued Lipschitz functions on S to those on all of M. We show that the finite direct sum of Gromov hyperbolic spaces of bounded geometry is universal in the sense of this definition.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0601205
dc.identifierhttp://arxiv.org/abs/math/0601205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107463
dc.subjectMetric Geometry
dc.subjectFunctional Analysis
dc.subjectPrimary 26B35, Secondary 54E35, 46B15
dc.titleA Universal Lipschitz Extension Property of Gromov Hyperbolic Spaces
dc.typetext

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