Lipschitz conditions in conformally invariant metrics |
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| Authors: | J. Ferrand G. J. Martin M. Vuorinen |
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| Affiliation: | (1) U.E.R. 48, Université Pierre et Marie Curie, F. 75230 Paris Cedex 05, France;(2) Department of Mathematics, University of Auckland, Auckland, New Zealand;(3) Department of Mathematics, University of Helsinki, Hallituskatu 15, 00100 Helsinki, Finland |
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| Abstract: | We consider two conformally invariant metrics in proper subdomains of euclideann-spaceR n. We show that Lipschitz mappings in these metrics include the class of quasiconformal mappings as a proper subclass, yet these Lipschitz mappings have many properties similar to those of quasiconformal mappings. Research supported in part by the U.S. National Science Foundation and the A.P. Sloan Foundation. Research supported in part by the Alexander von Humboldt Foundation. |
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