@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 = "Funding Information: Ar{\'e}valo, Mart{\'i}n, and Vukoti{\'c} are supported by MTM2015-65792-P from MINECO and FEDER/EU and partially by the Thematic Research Network MTM2015-69323-REDT, MINECO, Spain. Hern{\'a}ndez and Mart{\'i}n are supported by FONDECYT 1150284, Chile. Mart{\'i}n is also supported by Academy of Finland Grant 268009. 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",
}