The extension operator in Banach spaces for locally biholomorphic mappings

DOI10.1016/S0252-9602(08)60072-7zbMath1174.32011OpenAlexW2051247447MaRDI QIDQ1003989

Ming-Sheng Liu, Yu-Can Zhu

Publication date: 6 March 2009

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(08)60072-7

zbMATH Keywords

Roper-Suffridge extension operatorbiholomorphic convex mappingbiholomorphic starlike mapping

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (5)

Subclasses of biholomorphic mappings under the extension operators ⋮ Sharp estimates of quasi-convex mappings of type B and order \(\alpha\) ⋮ Extension operators preserving biholomorphic mappings on Hartogs domains ⋮ Loewner chains associated with the generalized Roper-Suffridge extension operator on some domains ⋮ The generalized Roper-Suffridge extension operator in Banach spaces. III

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