Bloch functions on the unit ball of an infinite-dimensional Hilbert space

DOI10.1016/j.jfa.2014.04.018zbMath1293.32010OpenAlexW2120495497MaRDI QIDQ2253163

Oscar Blasco, Pablo Galindo, Alejandro Miralles

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.04.018

zbMATH Keywords

Bloch spacesinfinite-dimensional holomorphy

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Bloch spaces (30H30)

Related Items (27)

Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces ⋮ The Bloch space on the unit ball of a Hilbert space: maximality and multipliers ⋮ Lipschitz-type and Bloch-type spaces of pluriharmonic mappings in a Hilbert space ⋮ A Schwarz–Pick lemma for the norms of holomorphic mappings in Banach spaces ⋮ Bohr's inequality for holomorphic and pluriharmonic mappings with values in complex Hilbert spaces ⋮ Bloch space of a bounded symmetric domain and composition operators ⋮ Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space ⋮ Closed range composition operators on the Bloch space of bounded symmetric domains ⋮ 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 ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Weighted composition operators from the Bloch spaces to weighted Hardy spaces on bounded symmetric domains ⋮ Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space ⋮ Bloch functions on bounded symmetric domains ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space of infinite dimensional bounded symmetric domains ⋮ \(g\)-Loewner chains, Bloch functions and extension operators in complex Banach spaces ⋮ Loewner chains, Bloch mappings and Pfaltzgraff-Suffridge extension operators on bounded symmetric domains ⋮ Representations for the Bloch type semi-norm of Fréchet differentiable mappings ⋮ Bloch type spaces on the unit ball of a Hilbert space ⋮ 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 ⋮ Equality of norms for a class of Bloch and symmetrically weighted Lipschitz spaces of vector valued functions and derivation inequalities for Pick functions ⋮ 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

Cites Work

• Bloch Functions in Several Complex Variables, I
• Bloch functions in several complex variables. II.
• Spaces of Holomorphic Functions in the Unit Ball
• On Bloch Functions
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