Chaotic translations on weighted Orlicz spaces

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

ANNALES POLONICI MATHEMATICI, cilt.122, sa.2, ss.129-142, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 122 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.4064/ap180910-21-1
  • Dergi Adı: ANNALES POLONICI MATHEMATICI
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.129-142
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.