Sufficient conditions for ϵ quasi-convex mappings in a complex Banach space

DOI10.1080/17476933.2012.662224zbMath1277.32003OpenAlexW1998049338MaRDI QIDQ2855442

Xue-Mei Tang, Ming-Sheng Liu

Publication date: 25 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.662224

zbMATH Keywords

biholomorphic mappingquasi-convex mappingstarlike mappinglocally biholomorphic 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) Other generalizations of function theory of one complex variable (32A30)

Related Items (2)

Construction of biholomorphic convex mappings of order \(\alpha\) on \(B_p^n\) ⋮ The boundedness of two classes of integral operators

Cites Work

• On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space
• Criterion for the family of rounded \(\varepsilon\) starlike mappings
• Starlike and convex maps in Banach spaces
• Convexity properties of holomorphic mappings in ℂⁿ
• A starlikeness criterion for holomorphic mappings in C ⁿ

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