Dynamics of differentiation operators on generalized weighted Bergman spaces : Open Mathematics

摘要

The chaos of the differentiation operator on generalized weighted Bergman spaces of entire functions hasbeen 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 aredisjoint hypercyclic on generalized weighted Bergman spaces of entire functions.