Schwarz lemmas via the pluricomplex Green's function
Complex Variables
2019-09-10 v3
Abstract
We prove a version of the Schwarz lemma for holomorphic mappings from the unit disk into the symmetric product of a Riemann surface. Our proof is function-theoretic and self-contained. The main novelty in our proof is the use of the pluricomplex Green's function. We also prove several other Schwarz lemmas using this function.
Cite
@article{arxiv.1812.10337,
title = {Schwarz lemmas via the pluricomplex Green's function},
author = {Jaikrishnan Janardhanan},
journal= {arXiv preprint arXiv:1812.10337},
year = {2019}
}
Comments
Lemma 22 has been deleted. Some minor fixes