|
|||||
|
|
Boundary behavior of derivatives of conformal mappings of simply connected domains |
|
| Authors: | E. P. Dolzhenko S. V. Kolesnikov |
| Affiliation: | 1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia 2. Chair of Higher Mathematics, Ivanovo State Pedagogical University, 34, Rabfakovskaya st., Ivanovo, 153003, Russia |
| Abstract: | Conformal mappings of simply connected domains G on a disc or a half-plane are considered in the case when boundaries consist of smooth boundary arcs Γ reachable from inside of G. Sufficient conditions for existence of an angular limit of the derivative of such mappings and its bounded-ness at some given boundary point are found. A sufficient condition of existence of a bounded derivative on the region boundary is given as a corollary. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |