Construction of biholomorphic convex mappings on \(D_p\) in \(\mathbb{C}^n\)
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Publication:1024972
DOI10.1216/RMJ-2009-39-3-853zbMath1181.32020MaRDI QIDQ1024972
Publication date: 18 June 2009
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Minkowski functionalReinhardt domainbiholomorphic mappingconvex mappinglocally biholomorphic mappingconvex balanced domain
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)
Related Items (2)
Quasi-convex mappings of order \(\alpha\) on the unit polydisk in \(\mathbb{C}^n\) ⋮ On the biholomorphic convex mappings of order alpha on \(D_p^n\)
Cites Work
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- The generalized Roper-Suffridge extension operator in Banach spaces. II.
- Construction of convex mappings of \(p\)-balls in \(\mathbb{C}^2\)
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- 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
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