Composition operators between weighted Bergman spaces with admissible Békollé weights (Q380296)

The authors investigate composition operators on some spaces. In terms of the generalized Nevanlinna counting function, the authors characterize the bounded and compact composition operators from \(A^{p}(\sigma_1dA)\) to \(A^{q}(\sigma_2dA)\). Moreover, the authors estimate the essential norm of the composition operators under some restricted assumptions on \(p\) and \(q\). The paper is written very carefully and nicely. The terms used in the paper have also been explained in detail.