Compactness of composition operators on BMOA
نویسندگان
چکیده
منابع مشابه
Compactness of Composition Operators on Bmoa
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...
متن کاملCompact 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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متن کاملBoundedness, Compactness and Schatten-class Membership of Weighted Composition Operators
The boundedness and compactness of weighted composition operators on the Hardy space H of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function. Schattenclass membership is also considered; as a result, stronger forms of the two main results of a recent paper of Gunatillake are derived. Finally, weighted composition operators on w...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-04856-x