Polynomial differentiation composition operators from H^p spaces to weighted-type spaces on the unit ball

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.

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}_...

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

WEIGHTED COMPOSITION OPERATORS FROM F (p, q, s) TO BLOCH TYPE SPACES ON THE UNIT BALL

Let φ(z) = (φ1(z), · · · , φn(z)) be a holomorphic self-map of B and ψ(z) a holomorphic function on B, where B is the unit ball of C n . Let 0 < p, s < +∞,−n−1 < q < +∞, q + s > −1 and α ≥ 0, this paper gives some necessary and sufficient conditions for the weighted composition operator Wψ,φ induced by φ and ψ to be bounded and compact between the space F (p, q, s) and α-Bloch space β.

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.