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.
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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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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 کاملHardy Spaces and Twisted Sectors for Geometric Models
We study the one-to-one analytic maps σ that send the unit disc into a region G with the property that λG ⊂ G for some complex number λ, 0 < |λ| < 1. These functions arise in iteration theory, giving a model for the self-maps of the unit disk into itself, and in the study of composition operators as their eigenfunctions. We show that for such functions there are geometrical conditions on the im...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2000
ISSN: 0026-2285
DOI: 10.1307/mmj/1030132532