On Bilipschitz Extensions in Real Banach Spaces

M. Huang and Y. Li

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/765685

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:765685

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().