Schwarz lemma and Kobayashi metrics for holomorphic and pluriharmonic functions

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.

References in corpus (2)

• Functions in Bloch-type spaces and their moduli
• The Caratheodory and Kobayashi metrics and applications in complex analysis

Cited by in corpus (1)

• Some extensive discussions of Liouville's theorem and Cauchy's integral theorem on structural holomorphic