Teichmuller Extensibility of Circle Homeomorphisms
Titel:
Teichmuller Extensibility of Circle Homeomorphisms
Auteur:
Rassias, Themistocles Shibatas, Keiichi
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 47 (2002) nr. 8 pagina's 679-706
Jaar:
2002-08
Inhoud:
In this paper a condition is obtained in terms of Dirichlet's integral, for a sense-preserving homeomorphism between the unit circumferences to be prolonged into the interior of disk quasiconformally or as extremal Teichmuller mapping, which sharpens and simplifies the widely known theorems by Teichmuller [ Abh. Preuss. Akad. Wiss. Math. Naturw. Kl. 22 (1939) 1-197], Ahlfors [ J. d'Anal. Math ., 3 (1953/54) 1-98], Hamilton [ Trans. Amer. Math. Soc ., 138 (1969) 399-406], Reich [ Ann. Acad. Sci. Fenn. Ser. A. I. Math . 10 (1985) 469-475], Strebel [ Comment. Math. Helv. , 39 (1964) 77-89], Beurling and Ahlfors [ Acta Math ., 96 (1956) 125-142].
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