On weighted compositions preserving the Carath\'eodory class
Complex Variables
2018-10-31 v2
Abstract
We characterize in various ways the weighted composition transformations which preserve the class of normalized analytic functions in the disk with positive real part. We analyze the meaning of the criteria obtained for various special cases of symbols and identify the fixed points of such transformations.
Cite
@article{arxiv.1608.04577,
title = {On weighted compositions preserving the Carath\'eodory class},
author = {Irina Arévalo and Rodrigo Hernández and María J. Martín and Dragan Vukotić},
journal= {arXiv preprint arXiv:1608.04577},
year = {2018}
}
Comments
16 pages, 1 figure. A new comment and one minor correction were included in this version