Volterra-Type Operators on Zygmund Spaces

Volterra-Type Operators on Zygmund Spaces

Generalized Composition Operators from Zygmund Type Spaces to Qk Spaces

Let φ be an analytic self-map of D and g∈H(D) . The boundedness and compactness of generalized composition operators

Multilinear Calderón-zygmund Operators on Hardy Spaces

It is shown that multilinear Calderón-Zygmund operators are bounded on products of Hardy spaces.

Multiplication Operators on Generalized Lorentz-zygmund Spaces

The invertible, compact and Fredholm multiplication operators on generalized Lorentz-Zygmund (GLZ) spaces Lp,q;α, 1 < p ≤ ∞, 1 ≤ q ≤ ∞, α in the Euclidean space R, are characterized in this paper.

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-...