Composition operators on the bloch space in polydiscs

DOI10.1080/17476930108815398zbMath1026.47018OpenAlexW2269902246MaRDI QIDQ5894861

Ji Huai Shi, Ze-Hua Zhou

Publication date: 22 October 2002

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930108815398

zbMATH Keywords

polydiscBloch spacecomposition operatorBergman metricbounded Bergman domain

Mathematics Subject Classification ID

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 (10)

Composition type operator from Bergman space to \(\mu\)-Bloch type space in \(\mathbb{C}^n\) ⋮ Composition operators between \(H^\infty\) and \(a\)-Bloch spaces on the polydisc ⋮ Essential norms of composition operators between Bloch type spaces in the polydisk ⋮ Essential norm estimate of a composition operator between Bloch-type spaces in the unit ball ⋮ Weighted composition operators from Bergman-type spaces into Bloch spaces ⋮ On the composition operators on the Bloch space of several complex variables ⋮ The essential norms of composition operators between generalized Bloch spaces in the polydisc and their applications ⋮ Differences of composition operators on the space of bounded analytic functions in the polydisc ⋮ On the isometric composition operators on the Bloch space in \(\mathbb C^n\) ⋮ Multiplication operators on weighted Bloch spaces of the first Cartan domains

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