Distributionally chaotic translation semigroups

@inproceedings{Barrachina2012DistributionallyCT,
  title={Distributionally chaotic translation semigroups},
  author={Xavier Barrachina and Alfred Peris},
  year={2012}
}
We study distributional chaos for the translation C 0-semigroup on weighted L p -spaces. Some sufficient conditions for distributional chaos expressed in terms of the weight are given. Moreover, we establish a complete analogy between the study on distributional chaos for the translation C 0-semigroup and the corresponding one for backward shifts on weighted sequence spaces.