The roles played by order of starlikeness and the Bloch condition in the Roper-Suffridge extension operator

DOI10.1007/s11785-017-0652-xzbMath1401.32014OpenAlexW2594851248MaRDI QIDQ682209

Xiao-Fei Zhang, Yong Hong Xie

Publication date: 14 February 2018

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

Full work available at URL: https://doi.org/10.1007/s11785-017-0652-x

zbMATH Keywords

Bloch functionsspiral-like mappingsstar-like mappingsRoper-Suffridge extension operators

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) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items

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

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