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2013 On Bilipschitz Extensions in Real Banach Spaces
M. Huang, Y. Li
Abstr. Appl. Anal. 2013: 1-9 (2013). DOI: 10.1155/2013/765685


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


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M. Huang. Y. Li. "On Bilipschitz Extensions in Real Banach Spaces." Abstr. Appl. Anal. 2013 1 - 9, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1272.30039
MathSciNet: MR3045040
Digital Object Identifier: 10.1155/2013/765685

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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