Dynamics of differentiation operators on generalized weighted Bergman spaces

Abstract

The chaos of the differentiation operator on generalized weighted Bergman spaces of entire functions has been characterized recently by Bonet and Bonilla in [CAOT 2013], when the differentiation operator is continuous. Motivated by those, we investigate conditions to ensure that finite many powers of differentiation operators are disjoint hypercyclic on generalized weighted Bergman spaces of entire functions.

Keywords

• disjoint hypercyclic
• differentiation operator
• generalized weighted bergman spaces