The generalized Roper-Suffridge extension operator in Banach spaces. II.

DOI10.1016/J.JMAA.2004.08.052zbMath1114.46032OpenAlexW2093195226MaRDI QIDQ1770992

Ming-Sheng Liu, Yu-Can Zhu

Publication date: 7 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52799

zbMATH Keywords

Roper-Suffridge extension operatorbiholomorphic convex mappingbiholomorphic starlike mappingbiholomorphic \(\varepsilon\) starlike mapping

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach analytic manifolds and spaces (32K05) Holomorphic maps on manifolds (58C10) Questions of holomorphy and infinite-dimensional manifolds (58B12)

Related Items (8)

On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space ⋮ The Roper-Suffridge extension operator and classes of biholomorphic mappings ⋮ Extension operators and subordination chains ⋮ Loewner chains associated with the generalized Roper-Suffridge extension operator on some domains ⋮ The generalized Roper-Suffridge extension operator on bounded complete Reinhardt domains ⋮ Criteria for biholomorphic convex mappings on the unit ball in Hilbert spaces ⋮ Construction of biholomorphic convex mappings on \(D_p\) in \(\mathbb{C}^n\) ⋮ The generalized Roper-Suffridge extension operator in Banach spaces. III

Cites Work

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• Extension operators for locally univalent mappings
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• Criterion for the family of rounded \(\varepsilon\) starlike mappings
• Convex mappings on the unit ball of \(\mathbb C^ n\)
• An Extension Theorem and Subclasses of Univalent Mappings in Several Complex Variables
• Growth and covering theorems associated with the Roper-Suffridge extension operator
• The generalized Roper-Suffridge extension operator

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