On weighted compositions preserving the Carathéodory class
arXiv:1608.04577 · doi:10.1007/s00605-017-1093-3
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.
16 pages, 1 figure. A new comment and one minor correction were included in this version