2 papers
math.CV2025
On the Schwarz Lemma for Bergman metrics of bounded domains
Hoseob Seo, Sungmin Yoo, Jihun Yum
We present a new Schwarz Lemma for bounded domains with Bergman metrics. The key ingredient of our proof is the Cauchy-Schwarz inequality from probability theory.
math.CV2024
Invariant weighted Bergman metrics on domains
Sungmin Yoo
In this paper, we study the cases where the weighted Bergman metrics of a domain are invariant under biholomorphisms by introducing the concept of {\it invariant weight assignments…