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arxiv: 1704.06720 · v1 · pith:FY56RKFWnew · submitted 2017-04-21 · 🧮 math.CV

Schwarz lemma and Kobayashi metrics for holomorphic and pluriharmonic functions

classification 🧮 math.CV
keywords lemmaschwarzcomplexfunctionsholomorphicseveraltheoryanalysis
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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.

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