Construction of convex mappings of \(p\)-balls in \(\mathbb{C}^2\)
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Publication:1880497
DOI10.1007/BF03321052zbMath1056.32017MaRDI QIDQ1880497
Ted J. Suffridge, Jerry R. jun. Muir
Publication date: 28 September 2004
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
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 (6)
Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation ⋮ Convex subordination chains and injective mappings in \(\mathbb C^n\) ⋮ The Roper-Suffridge extension operator and classes of biholomorphic mappings ⋮ The roles played by order of convexity or starlikeness and the Bloch condition in the extension of mappings from the disk to the ball ⋮ The Roper-Suffridge extension operator and its applications to convex mappings in ${\mathbb {C}}^{2}$ ⋮ Construction of biholomorphic convex mappings on \(D_p\) in \(\mathbb{C}^n\)
Cites Work
- On the automorphisms of circular and Reinhardt domains in complex Banach spaces
- Homogeneous expansions of normalized biholomorphic convex mappings over \(B^ p\)
- Univalent mappings associated with the Roper-Suffridge extension operator
- Convex mappings on the unit ball of \(\mathbb C^ n\)
- The principle of subordination applied to functions of several variables
- Starlike and convex maps in Banach spaces
- Unbounded convex mappings of the ball in $\mathbb {C}^n$
- Convexity properties of holomorphic mappings in ℂⁿ
- Linear Invariance, Order and Convex Maps in
- SCHWARZ'S LEMMA IN NORMED LINEAR SPACES
- Norm order and geometric properties of holomorphic mappings in \(\mathbb{C}^n\)
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