Weighted Composition Operators on Some Weighted Spaces in the Unit Ball

Weighted Composition Operators on Some Weighted Spaces in the Unit Ball

Weighted Composition Operators and Integral-Type Operators between Weighted Hardy Spaces on the Unit Ball

Weighted 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.

Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

and Applied Analysis 3 where dV z is the Lebesgue volume measure on B. Some facts on mixed-norm spaces in various domains in C can be found, for example, in 6–8 see also the references therein . For 0 < p < ∞ the Hardy space H B H consists of all f ∈ H B such that ∥ ∥f ∥ ∥ Hp : sup 0<r<1 (∫ ∂B ∣ ∣f rζ ∣ ∣dσ ζ )1/p < ∞. 1.10 For p 2 the Hardy and the weighted Bergman space are Hilbert. Let φ be ...

Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces

In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.