Volterra-type operators on Zygmund spaces

Abstract

The boundedness and the compactness of the two integral operators Jg f(z)=∫0z f(ξ)g′ (ξ)dξ; Ig f(z)=∫0z f′ (ξ)g(ξ)dξ, where g is an analytic function on the open unit disk in the complex plane, on the Zygmund space are studied.