Mean Ergodicity of Multiplication Operators on Besov Spaces

In this paper, the power boundedness and mean ergodicity of multiplication operators are investigated on the Besov Space Bp. Let U be the unit disk in the complex plane C and be a function in the space of holomorphic functions H(U), our goal is to nd out when the multiplication operator M is power bounded, mean ergodic and uniformly mean ergodic on Bp.