Generalization of Schur's Test and its Application to a Class of Integral Operators on the Unit Ball of C-n

摘要

We generalize the classical Schur's test to the boundedness of integral operators from L (p) to L (q) spaces equipped with possibly different measures, for . As an application, we determine exactly when a class of integral operators are bounded from to , where is the unit ball of n-dimensional complex Euclidean space , and and are weighted area measures on . The result generalizes a result by Kures and Zhu.