The generalized Roper-Suffridge extension operator for some biholomorphic mappings

DOI10.1016/J.JMAA.2005.12.037zbMath1106.32015OpenAlexW2078222090MaRDI QIDQ855665

Xiaosong Liu

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.037

zbMATH Keywords

Roper-Suffridge extension operatorspirallikeness of type \(\beta\)starlikeness of order \(\alpha\)

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (11)

Convex mappings associated with the Roper-Suffridge extension operator ⋮ Generalized roper-suffridge operator for \(\varepsilon\) starlike and boundary starlike mappings ⋮ The subordination principle and its application to the generalized Roper-Suffridge extension operator ⋮ The Roper-Suffridge extension operator and classes of biholomorphic mappings ⋮ Unnamed Item ⋮ Loewner chains associated with the generalized Roper-Suffridge extension operator on some domains ⋮ The generalized Roper-Suffridge extension operator on bounded complete Reinhardt domains ⋮ Analytic and geometric properties associated with some extension operators ⋮ Extension operators preserving Janowski classes of univalent functions ⋮ Extension Operators for Biholomorphic Mappings ⋮ The generalized Roper-Suffridge extension operator in Banach spaces. III

Cites Work

• On decomposition theorem of normalized biholomorphic convex mappings in Reinhardt domains
• Extension operators for locally univalent mappings
• On the Roper-Suffridge extension operator.
• Loewner chains and the Roper-Suffridge extension operator
• Univalent mappings associated with the Roper-Suffridge extension operator
• Convex mappings on the unit ball of \(\mathbb C^ n\)
• An Extension Theorem and Subclasses of Univalent Mappings in Several Complex Variables
• The generalized Roper-Suffridge extension operator
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