Weighted composition operators from Zygmund spaces into Bloch spaces

摘要

Let φ be an analytic self-map and u be a fixed analytic function on the open unit disk D in the complex plane C. 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.