Extremal Problems and g-Loewner Chains in $$\mathbb{C}^{n}$$ and Reflexive Complex Banach Spaces
From MaRDI portal
Publication:2945435
DOI10.1007/978-3-319-06554-0_16zbMath1320.32007OpenAlexW1003711081MaRDI QIDQ2945435
Gabriela Kohr, Ian Graham, Hidetaka Hamada
Publication date: 11 September 2015
Published in: Topics in Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-06554-0_16
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Infinite-dimensional holomorphy (46G20) Other generalizations of function theory of one complex variable (32A30)
Related Items
Bounded support points for mappings with \(g\)-parametric representation in \(\mathbb{C}^2\) ⋮ Support points and extreme points for mappings with \(A\)-parametric representation in \(\mathbb C^n\) ⋮ Support points for families of univalent mappings on bounded symmetric domains ⋮ Extremal problems for mappings with generalized parametric representation in \({\mathbb {C}}^{n}\) ⋮ On reachable families of the Loewner differential equation in several complex variables ⋮ Fekete-Szegö problem for univalent mappings in one and higher dimensions ⋮ Growth, distortion and coefficient bounds for Carathéodory families in \(\mathbb C^n\) and complex Banach spaces ⋮ Loewner chains and nonlinear resolvents of the Carathéodory family on the unit ball in \(\mathbb{C}^n\) ⋮ Extremal Problems for Mappings with g-Parametric Representation on the Unit Polydisc in ℂ n ⋮ \(g\)-Loewner chains, Bloch functions and extension operators in complex Banach spaces ⋮ Loewner chains, Bloch mappings and Pfaltzgraff-Suffridge extension operators on bounded symmetric domains ⋮ Shearing process and an example of a bounded support function in \(S^0(\mathbb B^2)\)
Cites Work
- An abstract approach to Loewner chains
- Solving the Loewner PDE in complete hyperbolic starlike domains of \(\mathbb{C}^N\)
- Growth, distortion and coefficient bounds for Carathéodory families in \(\mathbb C^n\) and complex Banach spaces
- Approximation properties on spirallike domains of \(\mathbb{C}^n\)
- Polynomially bounded solutions to the Loewner differential equation in several complex variables
- Resonances in Loewner equations
- Solution of a Loewner chain equation in several complex variables
- On biholomorphic mappings in complex Banach spaces
- Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation
- Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
- Asymptotically spirallike mappings in several complex variables
- Solutions for the generalized Loewner differential equation in several complex variables
- Support point functions and the Loewner variation
- Loewner chains and parametric representation in several complex variables
- Extreme points, support points and the Loewner variation in several complex variables
- Extremal properties associated with univalent subordination chains in \(\mathbb C^n\)
- Subordination chains and univalence of holomorphic mappings in C\(^n\)
- Evolution families and the Loewner equation. II: Complex hyperbolic manifolds
- A class of Loewner chain preserving extension operators
- Extreme points for convex mappings of \(B_n \)
- Nonlinear semigroups and evolution equations
- On schlicht mappings to domains convex in one direction
- Löwnersche Differentialgleichung und Schlichtheitskriterien
- Univalent Subordination Chains in Reflexive Complex Banach Spaces
- On support points of the class $S^0(B^n)$
- Parametric representation and asymptotic starlikeness in ℂⁿ
- Φ-Like Holomorphic Functions In C n and Banach Spaces
- Parametric Representation of Univalent Mappings in Several Complex Variables
- Embedding univalent functions in filtering Loewner chains in higher dimension
- Growth estimates for pseudo-dissipative holomorphic maps in Banach spaces
- The Numerical Range of Holomorphic Functions in Banach Spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item