The Roper-Suffridge extension operator and classes of biholomorphic mappings

DOI10.1007/S11425-006-2051-ZzbMath1123.32009OpenAlexW1596218033MaRDI QIDQ867801

Gabriela Kohr, Ian Graham

Publication date: 16 February 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-2051-z

zbMATH Keywords

covering theoremlinear invariant familyextreme pointsdistortion theoremparametric representationLoewner chainRoper-Suffridge operatorstarlike mappinggrowth theoremconvex mapping

Mathematics Subject Classification ID

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 (8)

Geometric mappings under the perturbed extension operators in complex systems analysis ⋮ The roles played by order of convexity or starlikeness and the Bloch condition in the extension of mappings from the disk to the ball ⋮ Extensions of \(L^d\)-Loewner chains to higher dimensions ⋮ Extension operators and subordination chains ⋮ The roles played by order of starlikeness and the Bloch condition in the Roper-Suffridge extension operator ⋮ The generalized Roper-Suffridge extension operator on bounded complete Reinhardt domains ⋮ Analytic and geometric properties associated with some extension operators ⋮ The generalized Roper-Suffridge extension operator in Banach spaces. III

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