Distributionally chaotic translation semigroups

Autores UPV
Año
Revista JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

Abstract

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.