Schwarz lemma and Kobayashi metrics for holomorphic functions

DOI10.2298/FIL1711253MzbMath1499.30319OpenAlexW2792477190WikidataQ124834021 ScholiaQ124834021MaRDI QIDQ5020088

Miodrag S. Mateljević

Publication date: 4 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1711253m

zbMATH Keywords

hyperbolic distanceholomorphic functionscontractionshyperbolic Riemann surfacescomplex Banach spaces

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15)

Related Items

Schwarz lemma and Kobayashi metrics for harmonic and holomorphic functions

Cites Work

• Schwarz lemma for pluriharmonic functions
• On harmonic functions and the hyperbolic metric
• Linear fractional maps of the unit ball: A geometric study
• The Ahlfors-Schwarz lemma in several complex variables
• On the quasi-isometries of harmonic quasiconformal mappings
• Old and new invariant pseudo-distances defined by pluriharmonic functions
• SHARPENED FORMS OF THE SCHWARZ LEMMA ON THE BOUNDARY
• A General Schwarz Lemma for Kahler Manifolds
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• A sharp Schwarz inequality on the boundary
• SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL
• On harmonic functions and the Schwarz lemma
• The Kobayashi metric, extremal discs, and biholomorphic mappings
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