A new rigidity result for holomorphic maps
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Publication:1397706
DOI10.1016/S0019-3577(02)80032-5zbMath1035.30020MaRDI QIDQ1397706
Serena Migliorini, Fabio Vlacci
Publication date: 7 August 2003
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Boundary value problems in the complex plane (30E25) Cluster sets, prime ends, boundary behavior (30D40)
Related Items (10)
The Schwarz lemma at the boundary of the symmetrized bidisc ⋮ The Burns-Krantz type rigidity for domains with corners ⋮ Inequalities for angular derivatives and boundary interpolation ⋮ Another look at the Burns-Krantz theorem ⋮ Recent Developments for Regular Functions of a Hypercomplex Variable ⋮ Boundary derivatives of the phases of inner and outer functions and applications ⋮ Rigidity for regular functions over Hamilton and Cayley numbers and a boundary Schwarz' lemma ⋮ Kœnigs-type linearization models and asymptotic behavior of one-parameter semigroups ⋮ Julia theory for slice regular functions ⋮ The Schwarz Lemma: Rigidity and Dynamics
Cites Work
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- A \(C^{\infty}\) Schwarz reflection principle in one and several complex variables
- Boundary behavior of certain holomorphic maps
- A weak Hopf lemma for holomorphic mappings
- Unique continuation and regularity at the boundary for holomorphic functions
- Rigidity at the boundary for holomorphic self-maps of the unit disk
- A unique continuation problem for holomorphic mappings
- Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
- A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
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