Boundedness of projected composition operators over the unit disc

摘要

In the present paper, we carry forward R. Rochberg's work [4] on the boundedness of composition operators associated to continuous symbols of norm greater than 1. More general sufficient conditions and necessary conditions are given for the boundedness of K-phi := P-H2 D-phi where D-phi : C[z] - L-2(T) is the composition operator of the symbol phi. (C) 2018 Published by Elsevier Inc.