Differences of weighted composition operators from hardy space to weighted-type spaces on 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.

Generalized Weighted Composition Operators From Logarithmic Bloch Type Spaces to $ n $'th Weighted Type Spaces

Let $ mathcal{H}(mathbb{D}) $ denote the space of analytic functions on the open unit disc $mathbb{D}$. For a weight $mu$ and a nonnegative integer $n$, the $n$'th weighted type space $ mathcal{W}_mu ^{(n)} $ is the space of all $fin mathcal{H}(mathbb{D}) $ such that $sup_{zin mathbb{D}}mu(z)left|f^{(n)}(z)right|begin{align*}left|f right|_{mathcal{W}_...

Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball

Let BN be the unit ball in the N-dimensional complex space, for ψ, a holomorphic function in BN , and φ, a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H(β,BN ) is given by (Cψ,φ) f = ψ(z) f (φ(z)), where f ∈H2(β,BN ). This paper discusses the spectrum of Cψ,φ when it is compact on a certain class of weighted Hardy spaces and when the compos...

Volterra composition operators from generally weighted Bloch spaces to Bloch-type spaces on the unit ball

Let φ be a holomorphic self-map of the open unit ball B, g ∈ H(B). In this paper, the boundedness and compactness of the Volterra composition operator T g from generally weighted Bloch spaces to Bloch-type spaces are investigated. c ©2012 NGA. All rights reserved.