Covering results and perturbed Roper-Suffridge operators

DOI10.1007/s11785-012-0259-1zbMath1303.30013arXiv1202.3063OpenAlexW1993112848MaRDI QIDQ403676

Marina Levenshtein, Mark Elin

Publication date: 29 August 2014

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3063

zbMATH Keywords

continuous semigroupinfinitesimal generatorextension operatorspirallike mappings of the open disc

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (13)

Extensions of abstract Loewner chains and spirallikeness ⋮ Subclasses of biholomorphic mappings under the extension operators ⋮ Generalized roper-suffridge operator for \(\varepsilon\) starlike and boundary starlike mappings ⋮ The extension operators on \(B^{n+1}\) and bounded complete Reinhardt domains ⋮ Geometric mappings under the perturbed extension operators in complex systems analysis ⋮ Extension operators and automorphisms ⋮ Extreme points, support points and \(g\)-Loewner chains associated with Roper-Suffridge and Pfaltzgraff-Suffridge extension operators ⋮ Loewner chains applied to \(g\)-starlike mappings of complex order of complex Banach spaces ⋮ Extension operators and support points associated with \(g\)-Loewner chains on complex Banach spaces ⋮ Extension operators preserving biholomorphic mappings on Hartogs domains ⋮ The roles played by order of starlikeness and the Bloch condition in the Roper-Suffridge extension operator ⋮ \(g\)-Loewner chains, Bloch functions and extension operators in complex Banach spaces ⋮ Extension Operators for Biholomorphic Mappings

Cites Work

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• Univalent mappings associated with the Roper-Suffridge extension operator
• Spiral-like functions with respect to a boundary point
• Convex mappings on the unit ball of \(\mathbb C^ n\)
• A class of Loewner chain preserving extension operators
• Complex dynamical systems and the geometry of domains in Banach spaces
• The generalized Roper-Suffridge extension operator

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