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Holes and maps of Euclidean domains
Author(s):
Jussi
Väisälä
Journal:
Conform. Geom. Dyn.
12
(2008),
58-66.
MSC (2000):
Primary 30C65
Posted:
March 13, 2008
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Abstract:
We study the behavior of the quasiconvexity and bounded turning of holes of domains under quasisymmetric and bilipschitz maps.
References:
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- P. Tukia and J. Väisälä, Quasisymmetric embeddings of metric spaces, Ann. Acad. Sci. Fenn. Math. 5, 1980, 97-114. MR 595180 (82g:30038)
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- J. Väisälä, Quasiconformal maps of cylindrical domains, Acta Math. 162 (1989), 201-225. MR 989396 (90f:30034)
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- J. Väisälä, Metric duality in euclidean spaces, Math. Scand. 80 (1997), 249-288. MR 1481106 (98i:55001)
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Additional Information:
Jussi
Väisälä
Affiliation:
Matematiikan Laitos, Helsingin Yliopisto, Helsinki, Finland
DOI:
10.1090/S1088-4173-08-00176-8
PII:
S 1088-4173(08)00176-8
Keywords:
Quasisymmetric,
bilipschitz,
bounded turning,
quasiconvex
Received by editor(s):
November 13, 2007
Posted:
March 13, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
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