A Schwarz lemma for multivalued functions and distortion theorems for Bloch functions with branch points

DOI10.1090/S0002-9947-99-02540-4zbMath1131.30338OpenAlexW1632355437WikidataQ125053220 ScholiaQ125053220MaRDI QIDQ4269088

Ian Graham, David Minda

Publication date: 31 October 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02540-4

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items (4)

Distortion type theorems for functions in the logarithmic Bloch space ⋮ Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications ⋮ Distortion theorems in the (α, β)-Bloch logarithmic spaces ⋮ The Schwarz Lemma: Rigidity and Dynamics

Cites Work

• Lower bounds for the hyperbolic metric in convex regions
• Distortion theorems for Bloch functions
• Distortion theorems for locally univalent Bloch functions
• A generalization of Schwarz' lemma
• Distortion Theorems for Bloch Functions

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