Essential norm of generalized weighted composition operators from the Bloch space to the Zygmund space

Essential norm of generalized weighted composition operators from the Bloch space to the Zygmund space

In this paper, we give some estimates of the essential norm for generalized weighted composition operators from the Bloch space to the Zygmund space. Moreover, we give a new characterization for the boundedness and compactness of the operator.

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Veröffentlicht in:Journal of inequalities and applications 2016-04, Vol.2016 (1), p.1-16, Article 123
Hauptverfasser: Hu, Qinghua, Shi, Yafeng, Shi, Yecheng, Zhu, Xiangling
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Bloch space
essential norm
Estimates
generalized weighted composition operator
Inequalities
Mathematics
Mathematics and Statistics
Norms
Operators
Zygmund space
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Zusammenfassung:In this paper, we give some estimates of the essential norm for generalized weighted composition operators from the Bloch space to the Zygmund space. Moreover, we give a new characterization for the boundedness and compactness of the operator.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-016-1066-4