On weighted compositions preserving the Carathéodory class

Irina Arévalo, Rodrigo Hernández, María J. Martín, Dragan Vukotić

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)459-477
Number of pages19
JournalMonatshefte fur Mathematik
Volume187
Issue number3
DOIs
StatePublished - 1 Nov 2018
Externally publishedYes

Keywords

  • Angular derivative
  • Fixed points
  • Functions with positive real part (Carathéodory class)
  • Inner functions
  • Weighted composition transformation

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