Composition operators on the Bloch space of the unit ball of a Hilbert space

DOI10.1215/17358787-0000005XzbMath1361.32024arXiv1510.01524MaRDI QIDQ516287

Mikael Lindström, Alejandro Miralles, Pablo Galindo, Oscar Blasco

Publication date: 14 March 2017

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

Full work available at URL: https://arxiv.org/abs/1510.01524

zbMATH Keywords

composition operatorsBloch functionsunit ball of a Hilbert space

Mathematics Subject Classification ID

Banach analytic manifolds and spaces (32K05) Linear composition operators (47B33) Bloch functions, normal functions of several complex variables (32A18) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (10)

The Bloch space on the unit ball of a Hilbert space: maximality and multipliers ⋮ Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space ⋮ Bloch-type spaces and extended Cesàro operators in the unit ball of a complex Banach space ⋮ Lipschitz continuity of the dilation of Bloch functions on the unit ball of a Hilbert space and applications ⋮ Banach-valued Bloch-type functions on the unit ball of a Hilbert space and weak spaces of Bloch-type ⋮ Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space ⋮ Composition operators of Bloch-type spaces on bounded symmetric domains ⋮ Weighted space and Bloch-type space on the unit ball of an infinite dimensional complex Banach space ⋮ Bloch functions on the unit ball of a Banach space ⋮ Integration operators between Bloch type spaces and growth spaces on the unit ball of a complex Banach space

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