Weighted composition operators from Zygmund spaces into Bloch spaces

Let φφ be an analytic self-map and u   be a fixed analytic function on the open unit disk DD in the complex plane CC. The weighted composition operator is defined by(uCφ)(f)(z)=u(z)f(φ(z)),z∈D,f∈H(D).This paper studies the boundedness and compactness of weighted composition operators from Zygmund spaces into Bloch spaces.