Weighted composition operators from area Nevanlinna spaces into Bloch spaces

摘要

Let H(D) denote the class of all analytic functions on the open unit disk D of C. Let φ be an analytic self-map of D and u∈H(D). The weighted composition operator is defined by(uCφf)(z)=u(z)f(φ(z)),f∈H(D).The boundedness and compactness of weighted composition operators from area Nevanlinna spaces into Bloch spaces and little Bloch spaces are characterized in this paper.