On univalence of holomorphic mappings in Cn

• Autorzy: Raducanu D.
• Języki publikacji: EN

Abstrakty

EN

The method of subordination chains is used to obtain an univalence condition for holomorphic mappings in the unit ball of Cn.

Słowa kluczowe

EN

holomorphic mappings; functional analysis; semigroup

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 4
• Strony: 789--794
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Raducanu D.

• Department of Mathematics Faculty of Sciences, "Transilvania" University of Brasov Iuliu Maniu 50 Brasov 2200, Romania

Bibliografia

• [1] P. Curt, A generalization in n-dimensional complex space of Ahlfors and Becker's criterion for univalence, Studia Univ. Babes-Bolyai Math. 49, 1(1994), 31-38.
• [2] P. Curt, N. N. Pascu, Loewner chains and univalence criteria for holomorphic mappings in Cn, Bull. Malaysian Math. Soc. 18,2 (1995).
• [3] E. Hille, R. S. Phillips, Functional analysis and semigroups, Amer. Math. Soc. Colloq. Publ. 31 (1957).
• [4] J. A. Pfaltzgraff, Subordination chains and univalence of holomorphic mappings in Cn, Math. Ann. 210 (1974), 55-68.
• [5] J. A. Pfaltzgraff, K-Quasiconformal extension criteria in the disk, Complex variables, 21 (1993), 293-301.