On Bilipschitz Extensions in Real Banach Spaces
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Huang, M.& Li, Y.. 2013. On Bilipschitz Extensions in Real Banach Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-497090
Modern Language Association (MLA)
Huang, M.& Li, Y.. On Bilipschitz Extensions in Real Banach Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-497090
American Medical Association (AMA)
Huang, M.& Li, Y.. On Bilipschitz Extensions in Real Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-497090
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497090