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arXiv · 1608.04577

On weighted compositions preserving the Carathéodory class

Irina Arévalo·Rodrigo Hernández·María J. Martín·Dragan Vukotić
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Abstract

We characterize in various ways the weighted composition transformations which preserve the class ${\mathcal P}$ 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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Irina Arévalo, Rodrigo Hernández, María J. Martín, Dragan Vukotić. 2017-02-18. On weighted compositions preserving the Carathéodory class. https://doi.org/10.1007/s00605-017-1093-3

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