On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space

DOI10.1016/J.JMAA.2005.11.017zbMath1116.46034OpenAlexW1964588685MaRDI QIDQ855423

Ming-Sheng Liu, Yu-Can Zhu

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.2005.11.017

zbMATH Keywords

quasi-convex mappingbiholomorphic convex mappingbiholomorphic starlike mapping

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20)

Related Items (6)

The estimates of all homogeneous expansions for a subclass of \(\varepsilon\) quasi-convex mappings in several complex variables ⋮ Sufficient criteria for \(\varepsilon \) starlike mappings in a complex Banach space ⋮ Loewner chains associated with the generalized Roper-Suffridge extension operator on some domains ⋮ The generalized Roper-Suffridge extension operator on bounded complete Reinhardt domains ⋮ The generalized Roper-Suffridge extension operator in Banach spaces. III ⋮ Sufficient conditions for ϵ quasi-convex mappings in a complex Banach space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some sufficient conditions for biholomorphic convex mappings on \(B_p^n\)
• Extension operators for locally univalent mappings
• Loewner chains and the Roper-Suffridge extension operator
• Univalent mappings associated with the Roper-Suffridge extension operator
• The generalized Roper-Suffridge extension operator in Banach spaces. II.
• Criterion for the family of rounded \(\varepsilon\) starlike mappings
• Convex mappings on the unit ball of \(\mathbb C^ n\)
• A refinement about estimation of expansion coefficients for normalized biholomorphic mappings
• On growth and covering theorems of quasi-convex mappings in the unit ball of a complex Banach space
• Criteria for biholomorphic convex mappings on the unit ball in Hilbert spaces
• Starlike and convex maps in Banach spaces
• On the generalized Roper-Suffridge extension operator in Banach spaces
• An Extension Theorem and Subclasses of Univalent Mappings in Several Complex Variables
• Convexity properties of holomorphic mappings in ℂⁿ
• Growth and covering theorems associated with the Roper-Suffridge extension operator
• The generalized Roper-Suffridge extension operator

This page was built for publication: On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space