منابع مشابه
Asymptotic Balayage in Hardy and Bergman Spaces
For a range of Hardy and Bergman spaces X and sets of uniqueness K we show that for any functional φ ∈ X∗ there exists a sequence of measures (μn) supported on K converging weak* to φ. In particular, we consider H2 of the right half plane and obtain a Carleman–type formula for the continuous wavelet transform.
متن کاملComposition Operators between Bergman and Hardy Spaces
We study composition operators between weighted Bergman spaces. Certain growth conditions for generalized Nevanlinna counting functions of the inducing map are shown to be necessary and sufficient for such operators to be bounded or compact. Particular choices for the weights yield results on composition operators between the classical unweighted Bergman and Hardy spaces.
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COMPACT COMPOSITION OPERATORS ON THE HARDY AND BERGMAN SPACES
متن کاملWeighted composition operators between weighted Bergman spaces and Hardy spaces on the unit ball of C
In this paper, we study the weighted composition operators Wφ,ψ :f → ψ(f ◦ φ) between weighted Bergman spaces and Hardy spaces on the unit ball of Cn. We characterize the boundedness and the compactness of the weighted composition operators Wφ,ψ :Ap(να)→Aq(νβ) (0 < q < p <∞, −1 < α,β <∞) and Wφ,ψ :Hp(B)→Hq(B) (0 < q < p <∞). © 2006 Elsevier Inc. All rights reserved.
متن کاملInvariant Subspaces of Bergman Spaces on Slit Domains
In this paper, we characterize the z-invariant subspaces that lie between the Bergman spaces A(G) and A(G\K), where 1 < p <∞, G is a bounded region in C, and K is a closed subset of a simple, compact, C arc.
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1998
ISSN: 0019-2082
DOI: 10.1215/ijm/1256044936