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Smale's Mean Value conjecture and the hyperbolic metric

โœ Scribed by A.F. Beardon; D. Minda; T.W. Ng

Publisher
Springer
Year
2002
Tongue
English
Weight
84 KB
Volume
322
Category
Article
ISSN
0025-5831

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Lฯ†(ฮผ)-averaging domains and the quasi-hy
Lฯ†(ฮผ)-averaging domains and the quasi-hyperbolic metric
โœ Shusen Ding ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 371 KB

In this paper, we first introduce L~(tt)-averaging domains which are generalizations of existing domains, such as John domains and LS(#)-averaging domains. Then, we characterize L~ (#)-averaging domains using the quasihyperbolic metric. Finally, we give applications to quasiconformal mappings.