A note on the essential norm of weighted composition operators on BMOA

Songxiao Li; Xiaosong Liu

doi:10.1215/20088752-3625066

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Home > Journals > Ann. Funct. Anal. > Volume 7 > Issue 3 > Article

August 2016 A note on the essential norm of weighted composition operators on BMOA

Songxiao Li, Xiaosong Liu

Ann. Funct. Anal. 7(3): 521-528 (August 2016). DOI: 10.1215/20088752-3625066

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Abstract

We give some new estimates for the essential norm of weighted composition operators on the space $\mathit{BMOA}$ . As a corollary, we obtain a new characterization for the compactness of weighted composition operators on the space $\mathit{BMOA}$ .

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Songxiao Li. Xiaosong Liu. "A note on the essential norm of weighted composition operators on BMOA." Ann. Funct. Anal. 7 (3) 521 - 528, August 2016. https://doi.org/10.1215/20088752-3625066

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Received: 24 November 2015; Accepted: 1 March 2016; Published: August 2016

First available in Project Euclid: 22 August 2016

zbMATH: 1345.30080

MathSciNet: MR3540449

Digital Object Identifier: 10.1215/20088752-3625066

Subjects:

Primary: 30H35

Secondary: 47B33

Keywords: BMOA , essential norm , Weighted composition operator

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Songxiao Li, Xiaosong Liu "A note on the essential norm of weighted composition operators on BMOA," Annals of Functional Analysis, Ann. Funct. Anal. 7(3), 521-528, (August 2016)

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