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A Universal Lipschitz Extension Property of Gromov Hyperbolic Spaces

A. Brudnyi·Yu. Brudnyi
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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.

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BibTeXRIS

A. Brudnyi, Yu. Brudnyi. 2006-01-10. A Universal Lipschitz Extension Property of Gromov Hyperbolic Spaces. https://arxiv.org/abs/math/0601205

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