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Liu, Ming-Sheng; Tang, Xue-Mei

Sufficient conditions for \(\varepsilon\) quasi-convex mappings in a complex Banach space. (English) Zbl 1277.32003

Complex Var. Elliptic Equ. 58, No. 9, 1273-1282 (2013).
Summary: Some sufficient conditions for \(\varepsilon\)-quasi-convex mappings on the unit ball \(B\) in a complex Banach space are provided. From these, we may construct many concrete quasi-convex mappings on \(B\). Some results, presented in this article, generalize related results of earlier authors.

Cited in 2 Documents

MSC:

32A30 Other generalizations of function theory of one complex variable
32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Keywords:

locally biholomorphic mapping; biholomorphic mapping; starlike mapping; quasi-convex mapping
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