On weighted compositions preserving the Carathéodory class
Entity
UAM. Departamento de MatemáticasPublisher
Springer-Verlag WienDate
2017-09-06Citation
10.1007/s00605-017-1093-3
Monatshefte für Mathematik 187.3 (2018): 459-477
ISSN
0026-9255 (Print); 1436-5081 (Online)DOI
10.1007/s00605-017-1093-3Funded by
Arévalo, Martín, and Vukotić are supported by MTM2015-65792-P from MINECO and FEDER/EU and partially by the Thematic Research Network MTM2015-69323-REDT, MINECO, Spain. Hernández and Martín are supported by FONDECYT 1150284, Chile. Martín is also supported by Academy of Finland Grant 268009Project
Gobierno de España. MTM2015-65792-P; Gobierno de España. MTM2015-69323-REDTEditor's Version
https://doi.org/10.1007/s00605-017-1093-3Subjects
Angular derivative; Fixed points; Functions with positive real part (Carathéodory class); Inner functions; Weighted composition transformation; MatemáticasNote
This is a post-peer-review, pre-copyedit version of an article published in Monatshefte für Mathematik. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00605-017-1093-3Rights
© 2017, Springer-Verlag GmbH AustriaAbstract
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
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Google Scholar:Arévalo, Irina
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Hernández, Rodrigo
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Martín, María J.
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Vukotic Jovsic, Dragan
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