Weakly compact composition operators on vector-valued BMOA
نویسندگان
چکیده
منابع مشابه
Compact composition operators on BMOA(Bn)
Dedicated to Professor T.-D. Zhong on the occasion of his 80th birthday Abstract: The paper gives some characterization theorems for the compact composition operator on some function spaces. In particular, it gives a characterization for compact composition operators on BMOA(Bn) with Bn being the unit ball in C , which generalizes a result proved by Bourdon, Cima and Matheson for the case n = 1...
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We give a new and simple compactness criterion for composition operators Cφ on BMOA and the Bloch space in terms of the norms of φ in the respective spaces.
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Let $T$ be a bounded operator on the Banach space $X$ and $ph$ be an analytic self-map of the unit disk $Bbb{D}$. We investigate some operator theoretic properties of bilateral composition operator $C_{ph, T}: f ri T circ f circ ph$ on the vector-valued Hardy space $H^p(X)$ for $1 leq p leq +infty$. Compactness and weak compactness of $C_{ph, T}$ on $H^p(X)$ are characterized an...
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A function theoretic characterization is given of when a composition operator is compact on BMOA, the space of analytic functions on the unit disk having radial limits that are of bounded mean oscillation on the unit circle. When the symbol of the composition operator is univalent, compactness on BMOA is shown to be equivalent to compactness on the Bloch space, and a characterization in terms o...
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let $t$ be a bounded operator on the banach space $x$ and $ph$ be an analytic self-map of the unit disk $bbb{d}$. we investigate some operator theoretic properties of bilateral composition operator $c_{ph, t}: f ri t circ f circ ph$ on the vector-valued hardy space $h^p(x)$ for $1 leq p leq +infty$. compactness and weak compactness of $c_{ph, t}$ on $h^p(x)$ are characterized an...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2005
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2004.12.002