Criterion for the family of rounded \(\varepsilon\) starlike mappings

DOI10.1016/S0022-247X(02)00337-2zbMath1019.32009MaRDI QIDQ1856881

Sheng Gong, Tai Shun Liu

Publication date: 11 February 2003

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

zbMATH Keywords

complex Banach spaceunit ballconvex mappingsstarlike mappingsbounded convex circular domain

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Holomorphically convex complex spaces, reduction theory (32E05)

Related Items (4)

On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space ⋮ Sufficient criteria for \(\varepsilon \) starlike mappings in a complex Banach space ⋮ The generalized Roper-Suffridge extension operator in Banach spaces. II. ⋮ Sufficient conditions for ϵ quasi-convex mappings in a complex Banach space

Cites Work

• On the Roper-Suffridge extension operator.
• Starlike and convex maps in Banach spaces
• SCHWARZ'S LEMMA IN NORMED LINEAR SPACES
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