\(g\)-Loewner chains, Bloch functions and extension operators in complex Banach spaces

DOI10.1007/s13324-019-00352-4zbMath1434.32021OpenAlexW2998106347WikidataQ126423354 ScholiaQ126423354MaRDI QIDQ2285030

Mirela Kohr, Ian Graham, Gabriela Kohr, Hidetaka Hamada

Publication date: 15 January 2020

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-019-00352-4

zbMATH Keywords

Bloch functionsLoewner chainRoper-Suffridge extension operatorMuir extension operator

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Continuation of analytic objects in several complex variables (32D15) Normal functions of one complex variable, normal families (30D45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Other generalizations of function theory of one complex variable (32A30)

Related Items (7)

The subordination principle and its application to the generalized Roper-Suffridge extension operator ⋮ Fekete-Szegö problem for univalent mappings in one and higher dimensions ⋮ 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 ⋮ g −Loewner chain associated with Muir-type extension operator ⋮ New subclasses of univalent mappings in several complex variables: extension operators and applications ⋮ Unnamed Item

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