Norm of Composition Operator on Mixed Norm Spaces

Abstract

Computation of the exact norm of the composition operator acting on the spaces of holomorphic functions has shown to be difficult to perform. In this paper, we provide estimates of the norm of this operator acting on the mixed norm space Hp,q,α . For some values of parameters p,q and α , the proposed upper bound of the norm generalizes the upper bound of the norm of the composition operator acting on the weighted Bergman space.