This is an announcement for the paper "A universal Lipschitz extension property of Gromov hyperbolic spaces" by A. Brudnyi and Yu. Brudnyi.
Abstract: A 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.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: Primary 26B35, Secondary 54E35, 46B15
Remarks: 31 pages
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Submitted from: albru@math.ucalgary.ca
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