Robin functions and distortion theorems for regular mappings
Complex Variables
2007-05-23 v1
Abstract
Capacities of generalized condensers are applied to prove a two-point distortion theorem for conformal mappings. The result is expressed in terms of the Robin function and the Robin capacity with respect to the domain of definition of the mapping and subsets of the boundary of this domain. The behavior of Robin function under multivalent functions is studied. Some corollaries and examples of applications to distortion theorems for regular functions are given.
Cite
@article{arxiv.math/0702262,
title = {Robin functions and distortion theorems for regular mappings},
author = {Vladimir N. Dubinin and Matti Vuorinen},
journal= {arXiv preprint arXiv:math/0702262},
year = {2007}
}
Comments
21 pages