A Burns–Krantz-type Theorem for Pseudo-contractive Mappings

DOI10.1007/978-3-319-62362-7_9zbMath1393.30022OpenAlexW2758498944MaRDI QIDQ4637542

Marina Levenshtein, David M. Shoikhet

Publication date: 24 April 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-62362-7_9

zbMATH Keywords

rigidityangular derivativepseudo-contractive mappingBurns-Krantz theorem

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Inequalities in the complex plane (30A10)

Related Items (1)

Non-tangential Burns-Krantz rigidity

Cites Work

• Boundary behavior and rigidity of semigroups of holomorphic mappings
• On the boundary continuity of conformal maps
• Another look at the Burns-Krantz theorem
• Rigidity theorems, boundary interpolation and reproducing kernels for generalized Schur functions
• A rigidity theorem for composition operators on certain Bergman spaces
• Inequalities for angular derivatives and boundary interpolation
• Rigidity at the boundary for holomorphic self-maps of the unit disk
• Second angular derivatives and parabolic iteration in the unit disk
• Commuting semigroups of holomorphic mappings
• Boundary interpolation and rigidity for generalized Nevanlinna functions
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• A sharp Schwarz inequality on the boundary
• The Schwarz Lemma: Rigidity and Dynamics

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