Extreme points, support points and \(g\)-Loewner chains associated with Roper-Suffridge and Pfaltzgraff-Suffridge extension operators

DOI10.1007/s11785-015-0468-5zbMath1398.32006OpenAlexW2469682614MaRDI QIDQ889967

Teodora Chirilă

Publication date: 9 November 2015

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

Full work available at URL: https://doi.org/10.1007/s11785-015-0468-5

zbMATH Keywords

Roper-Suffridge extension operator\(g\)-Loewner chain\(g\)-star-like mappingsbiholomorphic mappings an the ballPfaltzgraff-Suffridge extension operator

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Other generalizations of function theory of one complex variable (32A30)

Related Items (2)

Loewner chains applied to \(g\)-starlike mappings of complex order of complex Banach spaces ⋮ Growth and distortion results for a class of biholomorphic mapping and extremal problem with parametric representation in \(\mathbb{C}^n\)

Cites Work

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• Loewner chains and the Roper-Suffridge extension operator
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• Parametric representation and extension operators for biholomorphic mappings on some Reinhardt domains
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