The Burns-Krantz type rigidity for domains with corners

DOI10.1007/s12220-024-01597-7OpenAlexW4393142995MaRDI QIDQ6131318

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Publication date: 5 April 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-024-01597-7

zbMATH Keywords

domain with cornersBurns-Krantz-type rigidityfibered domain

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Boundary behavior of holomorphic functions of several complex variables (32A40)

Cites Work

• Another look at the Burns-Krantz theorem
• A preservation principle of extremal mappings near a strongly pseudoconvex point and its applications
• A new rigidity result for holomorphic maps
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• On the boundary rigidity at strongly pseudoconvex points
• A Burns-Krantz type theorem for domains with corners
• Non-tangential Burns-Krantz rigidity
• The Burns-Krantz rigidity with an interior fixed point
• Rigidity at the boundary for holomorphic self-maps of the unit disk
• Second angular derivatives and parabolic iteration in the unit disk
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
• A local study near the Wolff point on the ball
• Two boundary rigidity results for holomorphic maps
• Dynamics in One Complex Variable. (AM-160)
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