Chaotic translations on weighted Orlicz spaces

Chen C., Chen K., Oeztop S., Tabatabaie S. M.

ANNALES POLONICI MATHEMATICI, vol.122, no.2, pp.129-142, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 122 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.4064/ap180910-21-1
  • Journal Name: ANNALES POLONICI MATHEMATICI
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.129-142
  • Istanbul University Affiliated: Yes

Abstract

Let G be a locally compact group, and let w be a weight on G. Let Phi be a Young function. We give some characterizations for translation operators to be topologically transitive and chaotic on the weighted Orlicz space L-w(Phi)(G). In particular, transitivity is equivalent to the blow-up/collapse property in our case. Moreover, the dense set of periodic elements implies transitivity automatically.