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Weighted differentiation composition operators from H ∞ to Zygmund spaces
Yanyan Yu,Yongmin Liu +1 more
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In this paper, the boundedness and compactness of the weighted differentiation composition operator, where n ∈ℕ0, from H ∞ to Zygmund space are investigated.Abstract:
Let ϕ be an analytic self-map of the unit disk 𝔻, H(𝔻) the space of analytic functions on 𝔻 and u∈H(𝔻). The boundedness and compactness of the weighted differentiation composition operator , where n∈ℕ0, from H ∞ to Zygmund space are investigated in this paper.read more
Citations
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A New Characterization of Generalized Weighted Composition Operators from the Bloch Space into the Zygmund Space
Hao Li,Xiaohong Fu +1 more
TL;DR: In this article, a new criterion for the boundedness and compactness of generalized weighted composition operators from the Bloch space into the Zygmund space is given, which is based on the notion of compactness.
Journal ArticleDOI
A new characterization of the generalized weighted composition operator from H^\infty into the Zygmund space
TL;DR: In this paper, a new criterion for boundedness and compactness of generalized weighted composition operators from H ∞ into the Zygmund space is proposed, based on the notion of boundedness.
Journal ArticleDOI
Essential norm of generalized weighted composition operators from the Bloch space to the Zygmund space
TL;DR: In this article, the essential norm for generalized weighted composition operators from the Bloch space to the Zygmund space is given. And a new characterization for the boundedness and compactness of the operator is presented.
Journal ArticleDOI
Essential Norm of Weighted Composition Operators from Analytic Besov Spaces into Zygmund Type Spaces
TL;DR: In this paper, the essential norm of weighted composition operators from analytic Besov spaces into Zygmund type spaces has been studied, and a new characterization for the boundedness and compactness of the weighted composition operator uCϕ is obtained.
Journal ArticleDOI
Weighted Differentiation Composition Operators to Bloch-Type Spaces
TL;DR: In this article, the authors characterized the boundedness and compactness of weighted differentiation composition operators from BMOA and the Bloch space to Bloch-type spaces, and obtained new characterizations of the compactness and boundedness of these operators.
References
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Book
Spaces of Holomorphic Functions in the Unit Ball
TL;DR: In this article, Bergman Spaces, Bloch Spaces, Hardy Spaces, Besov Spaces, Lipschitz Spaces, and Hardy Spaces have been investigated for functions of bounded mean oscillation.
Journal ArticleDOI
Compact composition operators on the Bloch space
Kevin Madigan,Alec Matheson +1 more
TL;DR: In this paper, necessary and sufficient conditions are given for a composition operator Cof = f o q to be compact on the Bloch space w and on the little bloch space -'o.
Journal ArticleDOI
Generalized composition operators on zygmund spaces and bloch type spaces
TL;DR: In this article, the boundedness and compactness of the generalized composition operator on Zygmund spaces and Bloch type spaces are investigated, and the authors show that it is bounded and compact.