A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings

DOI10.1007/s11854-020-0080-0zbMath1439.32049OpenAlexW3013983150WikidataQ124883698 ScholiaQ124883698MaRDI QIDQ2177959

Gabriela Kohr, Ian Graham, Hidetaka Hamada

Publication date: 7 May 2020

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-020-0080-0

zbMATH Keywords

Schwarz lemmacoefficient estimatesstar-like mappingsHilbert ball

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Other generalizations of function theory of one complex variable (32A30) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Holomorphic maps with infinite-dimensional arguments or values (32K12)

Related Items (7)

Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball ⋮ A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains ⋮ 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 ⋮ Schwarz lemma at the boundary for holomorphic and pluriharmonic mappings between \(p\)-unit balls ⋮ The boundary Schwarz Lemma and the rigidity theorem on Reinhardt domains \(B_p^n\) of \(\mathbb{C}^n\) ⋮ The boundary Schwarz lemma for harmonic and pluriharmonic mappings and some generalizations

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