On the isometric composition operators on the Bloch space in \(\mathbb C^n\)
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Publication:1022968
DOI10.1016/j.jmaa.2009.02.023zbMath1166.32300arXiv0809.3438OpenAlexW2037539398MaRDI QIDQ1022968
Robert F. Allen, Flavia Colonna
Publication date: 10 June 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.3438
Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)
Related Items (15)
Norms of multiplication operators on Hardy spaces and weighted composition operators from Hardy spaces to weighted-type spaces on bounded symmetric domains ⋮ Multiplication operators on the Lipschitz space of a tree ⋮ Bloch space of a bounded symmetric domain and composition operators ⋮ POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES ⋮ Differences of generalized composition operators on the Bloch space ⋮ Isometries on products of composition and integral operators on Bloch type space ⋮ Difference of composition operators on some analytic function spaces ⋮ Norms of some operators on bounded symmetric domains ⋮ On convexity of composition and multiplication operators on weighted Hardy spaces ⋮ Weighted composition operators from the logarithmic weighted-type space to the weighted Bergman space in \(\mathbb C^n\) ⋮ Norm of the multiplication operators from \(H^{\infty }\) to the Bloch space of a bounded symmetric domain ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space of a bounded homogeneous domain ⋮ Ergodic properties of composition operators on Banach spaces of analytic functions ⋮ Multiplication operators on the Bloch space of bounded homogeneous domains ⋮ Norms of Composition Operators Induced by Finite Blaschke Products on Möbius Invariant Spaces
Cites Work
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- Holomorphic Mappings of the Hyperbolic Space into the Complex Euclidean Space and the Bloch Theorem
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- Composition operators on the bloch space in polydiscs
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