On Bilipschitz Extensions in Real Banach Spaces

M. Huang and Y. Li

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

Suppose that and denote real Banach spaces with dimension at least 2, that and are bounded domains with connected boundaries, that is an -QH homeomorphism, and that is uniform. The main aim of this paper is to prove that extends to a homeomorphism and is bilipschitz if and only if is bilipschitz in . The answer to some open problems of Väisälä is affirmative under a natural additional condition.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:765685

DOI: 10.1155/2013/765685

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