English

Schwarz lemma and Kobayashi metrics for holomorphic and pluriharmonic functions

Complex Variables 2017-04-25 v1

Abstract

The Schwarz lemma as one of the most influential results in complex analysis and it has a great impact to the development of several research fields, such as geometric function theory, hyperbolic geometry, complex dynamical systems, and theory of quasi-conformal mappings. In this note we mainly consider various version of Schwarz lemma and its relatives related to holomorphic functions including several variables.

Keywords

Cite

@article{arxiv.1704.06720,
  title  = {Schwarz lemma and Kobayashi metrics for holomorphic and pluriharmonic functions},
  author = {Miodrag Mateljević},
  journal= {arXiv preprint arXiv:1704.06720},
  year   = {2017}
}