Pseudo-contractions, rigidity, fixed points and related questions

Daniel Alpay, Vladimir Bolotnikov, David Shoikhet

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The class of holomorphic self-mappings of the open unit disk (which are contractions with respect to the Poincaré metric) admits a natural extension to the class of holomorphic pseudo-contractions. In this paper, we study various inequalities involving the values of derivatives of holomorphic pseudo-contractions at fixed points (particularly, at the Denjoy–Wolff fixed point).

Original languageEnglish
Article number7
JournalAnalysis and Mathematical Physics
Volume10
Issue number1
DOIs
StatePublished - 1 Mar 2020
Externally publishedYes

Keywords

  • Angular derivative
  • Denjoy–Wolff point
  • Pseudo-contraction

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