A note on mean ergodic composition operators on spaces of holomorphic functions

作者：Bonet Jose^*; Domanski Pawel

来源：Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2011, 105(2): 389-396.

DOI：10.1007/s13398-011-0009-7

• Composition operators
• Mean ergodic operators
• Power bounded operators
• Spaces of holomorphic functions

We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded. This condition is equivalent to the composition operator being mean ergodic. We also describe the form of the symbol when the composition operator is mean ergodic.

• 出版日期2011-9