Pseudo-contractions, Rigidity, Fixed Points and Related Questions

Authors

Daniel Alpay, Chapman UniversityFollow
Vladimir Bolotnikov, The College of William and Mary
David Shoikhet, Holon Institute of Technology

Document Type

Article

Publication Date

1-1-2020

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).

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Analysis and Mathematical Physics, volume 10, in 2020 following peer review. The final publication may differ and is available at Springer via https://doi.org/10.1007/s13324-019-00346-2.

A free read-only version of this publication is available at https://rdcu.be/b2dLR.

Recommended Citation

Alpay, D., Bolotnikov, V. & Shoikhet, D. Pseudo-contractions, rigidity, fixed points and related questions. Anal.Math.Phys. 10, 7 (2020) https://doi.org/10.1007/s13324-019-00346-2

Peer Reviewed

1

Copyright

Springer