Dynamics of weighted translations on Orlicz spaces

• Autores: Chung-Chuan Chen
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 71, Fasc. 1, 2020, págs. 173-187
• Idioma: inglés
• DOI: 10.1007/s13348-019-00256-3
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• Resumen

  • Let G be a locally compact group, and let Φ be a Young function. In this paper, we give sufficient and necessary conditions for weighted translation operators on the Orlicz space ?Φ(?) to be chaotic and topologically multiply recurrent. In particular, chaos implies multiple recurrence in our case.