A Schwarz-Pick lemma for the modulus of holomorphic mappings between the unit balls in complex spaces
Shaoyu Dai, Yifei Pan
TL;DR
This paper extends the classical Schwarz-Pick lemma to the modulus of holomorphic mappings between unit balls in complex spaces, broadening its applicability in complex analysis.
Contribution
It introduces a new Schwarz-Pick lemma for the modulus of holomorphic mappings between complex unit balls, generalizing previous results.
Findings
Established a Schwarz-Pick lemma for the modulus of holomorphic mappings
Extended classical Schwarz-Pick lemma to higher-dimensional complex spaces
Generalized Pavlovic's related result
Abstract
In this paper we prove a Schwarz-Pick lemma for the modulus of holomorphic mappings between the unit balls in complex spaces. This extends the classical Schwarz-Pick lemma and the related result proved by Pavlovic.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Meromorphic and Entire Functions