Diameter problems for univalent functions with quasiconformal extension

Autor:	Paul Deiermann
Jazyk:	angličtina
Rok vydání:	1993
Předmět:	extremal problems univalent functions quasiconformal extensions diameter theorems. Mathematics QA1-939
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 16, Iss 4, Pp 679-686 (1993)
Druh dokumentu:	article
ISSN:	0161-1712 1687-0425 01611712
DOI:	10.1155/S0161171293000857
Popis:	This paper utilizes the method of extremal length to study several diameter problems for functions conformal outside of a disc centered at the origin, with a standard normalization, which possess a quasiconformal extension to a ring subdomain of this disc. Known results on the diameter of a complementary component of the image domain of a univalent function are extended. Applications to the transfinite diameters of families of non-overlapping functions and an extension of the Koebe one-quarter theorem are included.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/94092d1f396e4ae291b3637f7b4b45d3 Zobrazit plný text záznamu Plný text View record in DOAJ