A Schwarz lemma at the boundary using the Julia-Wolff-Carathéodory type condition on finite dimensional irreducible bounded symmetric domains

DOI10.1016/j.jmaa.2018.04.076zbMath1391.32008OpenAlexW2800129918WikidataQ122702776 ScholiaQ122702776MaRDI QIDQ1635581

Hidetaka Hamada

Publication date: 31 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.076

zbMATH Keywords

bounded symmetric domainCartan domainSchwarz lemma at the boundaryinfinitesimal Kobayashi metric

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Boundary behavior of holomorphic functions of several complex variables (32A40)

Related Items (4)

Support points for families of univalent mappings on bounded symmetric domains ⋮ A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains ⋮ 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 \(\mathbb{C}^n\)

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• Angular derivatives on bounded symmetric domains
• Schwarz lemma at the boundary on the classical domain of type \(\mathcal{II}\)
• A boundary Schwarz lemma on the classical domain of type \(\mathcal I\)
• Boundary jets of holomorphic maps between strongly pseudoconvex domains
• A simple proof for the boundary Schwarz lemma for pluriharmonic mappings

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