Trace-order and a distortion theorem for linearly invariant families on the unit ball of a finite dimensional JB\(^{\ast }\) -triple

DOI10.1016/j.jmaa.2012.07.027zbMath1266.32031OpenAlexW2011098347MaRDI QIDQ714099

Hidetaka Hamada, Gabriela Kohr, Tatsuhiro Honda

Publication date: 19 October 2012

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.2012.07.027

zbMATH Keywords

JB*-triplelinearly invariant familytrace-order

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (15)

Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains ⋮ Sharp distortion theorems for a class of biholomorphic mappings in several complex variables ⋮ A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains ⋮ Bloch space of a bounded symmetric domain and composition operators ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Bloch functions on bounded symmetric domains ⋮ \(\alpha\)-Bloch mappings on bounded symmetric domains in \(\mathbb C^n\) ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space of infinite dimensional bounded symmetric domains ⋮ A distortion theorem and the Bloch constant for Bloch mappings in \(\mathbb{C}^N\) ⋮ Growth and distortion theorems for linearly invariant families on homogeneous unit balls in \(\mathbb C^n\) ⋮ On a subclass of close-to-convex mappings ⋮ Pluriharmonic mappings in \(\mathbb{C}^n\) and complex Banach spaces ⋮ Sharp distortion theorems for a subclass of close-to-convex mappings ⋮ Loewner chains, Bloch mappings and Pfaltzgraff-Suffridge extension operators on bounded symmetric domains ⋮ Distortion theorems, Lipschitz continuity and their applications for Bloch type mappings on bounded symmetric domains in C^n

Cites Work

• Linear invariance of locally biholomorphic mappings in the unit ball of a JB\(^\ast\)-triple
• Roper-Suffridge extension operator and the lower bound for the distortion
• Distortion theorems for convex mappings on homogeneous balls
• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• Applications and proof of a uniqueness theorem for linear invariant families of finite order
• Jordan algebras and symmetric Siegel domains in Banach spaces
• Extension operators for locally univalent mappings
• Linear-invariante Familien analytischer Funktionen. I
• Linear-invariante Familien analytischer Funktionen. II
• Isometries between \(JB^*\)-triples
• Bohr's theorem for holomorphic mappings with values in homogeneous balls
• Order of linearly invariant family of mappings in
• Linear Invariance of Locally Biholomorphic Mappings in Hilbert Spaces
• Growth and Distortion Results for Convex Mappings in Infinite Dimensional Spaces
• Distortion of locally biholomorphic maps of the N-Ball
• A Distortion Theorem for Biholomorphic Mappings in ℂ 2
• Linear Invariance, Order and Convex Maps in
• Norm order and geometric properties of holomorphic mappings in \(\mathbb{C}^n\)
• The distortion theorems of linear invariant family on the unit ball
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