Weighted composition operators from \(H^{\infty }\) to the Bloch space of infinite dimensional bounded symmetric domains

DOI10.1007/s11785-016-0624-6OpenAlexW2565502415MaRDI QIDQ682206

Hidetaka Hamada

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/s11785-016-0624-6

zbMATH Keywords

Bloch spacemultiplication operatorbounded symmetric domaincomposition operatorweighted composition operatorJB\(^{\ast}\)-triple

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Linear operators on function spaces (general) (47B38) Bloch functions, normal functions of several complex variables (32A18)

Related Items (9)

Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces ⋮ Weighted composition operators from \(H^\infty\) to \((\alpha, m)\)-Bloch space on Cartan-Hartogs domain of the first type ⋮ Bloch space of a bounded symmetric domain and composition operators ⋮ Bloch-type spaces and extended Cesàro operators in the unit ball of a complex Banach space ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Composition operators of Bloch-type spaces on bounded symmetric domains ⋮ Multiplication operators on the Bloch space of infinite dimensional bounded symmetric domains ⋮ Weighted composition operators between the Bloch type space and \(H^\infty (\mathbb {B}_X)\) of infinite dimensional bounded symmetric domains ⋮ Weighted space and Bloch-type space on the unit ball of an infinite dimensional complex Banach space

Cites Work

• Unnamed Item
• Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains
• Bloch functions on bounded symmetric domains
• Norm of the multiplication operators from \(H^{\infty }\) to the Bloch space of a bounded symmetric domain
• Trace-order and a distortion theorem for linearly invariant families on the unit ball of a finite dimensional JB\(^{\ast }\) -triple
• Weighted composition operators from \(H^{\infty }\) to the Bloch space of a bounded homogeneous domain
• Weighted composition operators between \(H^\infty\) and \(\alpha\)-Bloch spaces in the unit ball
• Weighted composition operators of \(H ^{\infty }\) into \(\alpha \)-Bloch spaces on the unit ball
• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• Analysis and geometry on complex homogeneous domains
• A distortion theorem and the Bloch constant for Bloch mappings in \(\mathbb{C}^N\)
• Bloch functions on the unit ball of an infinite-dimensional Hilbert space
• Growth and distortion theorems for linearly invariant families on homogeneous unit balls in \(\mathbb C^n\)
• Pluriharmonic mappings in \(\mathbb{C}^n\) and complex Banach spaces
• Weighted composition operators from \(H^{\infty }\) to the Bloch space on the polydisc
• Bloch Functions in Several Complex Variables, I
• Bloch functions in several complex variables. II.
• Generalized Bloch Mappings in Complex Hilbert Space
• Holomorphic Mappings of the Hyperbolic Space into the Complex Euclidean Space and the Bloch Theorem
• Weighted composition operators between \(H^\infty\) and the Bloch space

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