The roles played by order of convexity or starlikeness and the Bloch condition in the extension of mappings from the disk to the ball

DOI10.1007/S11785-010-0116-ZzbMath1275.32017OpenAlexW2062742366MaRDI QIDQ371742

Jerry R. jun. Muir

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1007/s11785-010-0116-z

zbMATH Keywords

biholomorphic mappingsconvex mappingsBloch mappingsextension operatorsstarlike mappings

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 generalizations of function theory of one complex variable (32A30)

Related Items (6)

Horosphere-invariant mappings of the unit ball in \(\mathbb{C}^n\) ⋮ Extension operators and automorphisms ⋮ Extensions of \(L^d\)-Loewner chains to higher dimensions ⋮ Necessary conditions for the existence of higher order extensions of univalent mappings from the disk to the ball ⋮ 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

Cites Work

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• Short Proofs of Three Theorems on Harmonic Functions
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• On a theorem of Grace

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