Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives

[摘要] In this paper, nonlinear integral operators on normalized analytic functions in the unit disk are investigated in connection with the pre-Schwarzian derivative and the Hornich operation. In particular, several nontrivial relations between these operators and the class of strongly starlike functions will be deduced. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-11-15

[关键词] univalent function;integral transform;Hornich operation;Teichmuller space