Domains in Rn with conically accessible boundary

[摘要] In this paper some characterizations and properties of domains in Re with boundary accessible externally by some circular cones are given. It is shown that the boundary of such domains is also conically accessible from the interior. It is also characterized alpha-accessible domains of C-N, which are biholomorphically equivalent to the open Euclidean ball. The paper is also a continuation of a concept of V.V. Starkov (2011) [13] and refers to papers of D.A. Brannan and W.E. Kirwan (1969) [3], W. Ma and D. Minda (1991) [10], J. Stankiewicz (1966) [11], and T. Sugawa (2005) [15] connected with a planar case. (C) 2013 Elsevier Inc. All rights reserved.

[发布日期] 2013-12-15

[关键词] Cone condition;alpha-accessible domains;Strongly starlike functions of order alpha;Diffeomorphic mappings in R-n;Biholomorphic mappings in C-N