Compact composition operators on BMOA and the Bloch space

2009/07/27 by Hasi Wulan, Dechao Zheng, Kehe Zhu · 4 citations
Mathematics · #Holomorphic and Operator Theory #Advanced Topics in Algebra #Advanced Operator Algebra Research

paper · pdf · doi:10.1090/s0002-9939-09-09961-4

Abstract

We give a new and simple compactness criterion for composition operators C_φ on BMOA and the Bloch space in terms of the norms of φ ⁿ in the respective spaces.

Citations

• Compactness of composition operators on BMOA
• The Essential Norm of a Composition Operator

Cited by

• Slice regular Besov spaces of hyperholomorphic functions and composition operators
• Differences of weighted differentiation composition operators from Bloch-type space to weighted-type space
• Difference of weighted composition operators on weighted-type spaces in the unit ball
• Essential norm and a new characterization of weighted composition operators from weighted Bergman spaces and Hardy spaces into the Bloch space

Related

• Compactness of composition operators on BMOA
• Compact and weakly compact composition operators on BMOA
• Compact Composition Operators on the Bloch Space in Bounded Symmetric Domains
• Compact composition operators on Besov spaces
• Composition operators on the spaces of Harmonic Bloch functions