Hadamard gap series in weighted-type spaces on the unit ball

Zygmund-Type Spaces on the Unit Ball

Let H B denote the space of all holomorphic functions on the unit ball B ⊂ C. This paper investigates the following integral-type operator with symbol g ∈ H B , Tgf z ∫1 0 f tz Rg tz dt/t, f ∈ H B , z ∈ B, whereRg z ∑n j 1 zj∂g/∂zj z is the radial derivative of g. We characterize the boundedness and compactness of the integral-type operators Tg from general function spaces F p, q, s to Zygmund-...

Weighted Composition Operators and Integral-Type Operators between Weighted Hardy 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.

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 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.