4.5 Article

Schwarz lemma and Kobayashi metrics for harmonic and holomorphic functions

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 464, Issue 1, Pages 78-100

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2018.03.069

Keywords

Harmonic, pluriharmonic and holomorphic functions; Hyperbolic distance; Kobayashi-Finsler norm; The unit ball; The polydisk

Funding

  1. Ministry of Education, Science and Technological Development of the Republic of Serbia [174 032]

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In this note we mainly consider various version of Schwarz lemma and its relatives related to harmonic and holomorphic functions including several variables. It turns out that our methods (results) unify very recent approaches. In particular our considerations include domains on which we can compute Kobayashi-Finsler norm. (C) 2018 Published by Elsevier Inc.

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