@article{8ff23ff5bc4545259dc1f6855596fdea,
title = "On weighted compositions preserving the Carath{\'e}odory class",
abstract = "We characterize in various ways the weighted composition transformations which preserve the class P 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.",
keywords = "Angular derivative, Fixed points, Functions with positive real part (Carath{\'e}odory class), Inner functions, Weighted composition transformation",
author = "Irina Ar{\'e}valo and Rodrigo Hern{\'a}ndez and Mart{\'i}n, {Mar{\'i}a J.} and Dragan Vukoti{\'c}",
note = "Publisher Copyright: {\textcopyright} 2017, Springer-Verlag GmbH Austria.",
year = "2018",
month = nov,
day = "1",
doi = "10.1007/s00605-017-1093-3",
language = "English",
volume = "187",
pages = "459--477",
journal = "Monatshefte fur Mathematik",
issn = "0026-9255",
publisher = "Springer-Verlag Wien",
number = "3",
}