Products of Volterra type operator and composition operator from H∞ and Bloch spaces to Zygmund spaces
Songxiao Li,Stevo Stević +1 more
TLDR
The boundedness and compactness of the products of Volterra type operators and composition operators from the space of bounded analytic functions and the Bloch space to the Zygmund space are discussed in this paper.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 2008-09-01 and is currently open access. It has received 145 citations till now. The article focuses on the topics: Volterra operator & Operator theory.read more
Citations
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On a new integral-type operator from the Bloch space to Bloch-type spaces on the unit ball
TL;DR: In this article, an integral-type operator on the space H (B ) of all holomorphic functions on the unit ball B ⊂ C n P φ g ( f ) ( z ) = ∫ 0 1 f ( φ ( t z ) ) g ( t t, z ∈ B, where g ∈ H ( B ), g ( 0 ) = 0 and φ is a holomorphic self-map of B.
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Products of composition and differentiation operators on the weighted Bergman space
TL;DR: In this article, the Hilbert-Schmidt norms of products of composition and differentiation operators on the Bergman space and Hardy space were derived in terms of the generalized Nevanlinna counting function.
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Norm and essential norm of composition followed by differentiation from α-Bloch spaces to Hμ∞
TL;DR: The norm of composition followed by differentiation operator from the Bloch and the little Bloch space to the weighted space H μ ∞ on the unit disk is calculated.
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Products of multiplication composition and differentiation operators on weighted Bergman spaces
TL;DR: This work considers linear operators induced by products of these operators on weighted Bergman spaces on D, establishing boundedness by using Carleson-type measures.
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Weighted differentiation composition operators from mixed-norm spaces to weighted-type spaces
TL;DR: The boundedness and compactness of the weighted differentiation composition operator D"@f","u^n(f)(z)=u(z)f^(^n^)(@f(z), where u is a holomorphic function on the unit disk D, @f is a Holomorphic self-map of D and [email protected]?N"0 is studied.
References
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Book
Composition Operators on Spaces of Analytic Functions
TL;DR: In this paper, Wogen's Theorem Spectral Properties Spectral properties of Compact Composition Operators Spectra: Boundary Fixed Point, Boundary fixed point, boundary fixed point.
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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.