Norms and essential norms of composition operators from \(H^\infty\) to general weighted Bloch spaces in the polydisk

DOI10.1186/1029-242X-2011-46zbMath1270.47022WikidataQ59269027 ScholiaQ59269027MaRDI QIDQ357395

Maofa Wang, Huanqin Wu

Publication date: 30 July 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

boundednessweak compactnessessential normcomposition operatorgeneral weighted Bloch space

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)

Cites Work

• On new Bloch-type spaces
• New Banach space properties of the disc algebra and \(H^{\infty}\)
• The essential norm of a composition operator on Bloch spaces
• Compactness of composition operators on the Bloch space in classical bounded symmetric domains.
• Essential norms of weighted composition operators between Bloch-type spaces
• Bloch Functions in Several Complex Variables, I
• Essential norms of composition operators between Bloch type spaces
• The Essential Norm of a Bloch-to-Q_p Composition Operator
• Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions
• Compact Composition Operators on the Bloch Space