Scholarlink

<p>In this paper, we give sufficient and necessary conditions for some families of composition operators on the Orlicz space to be d<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mathcal {F}\)</EquationSource> </InlineEquation>-transitive and <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\mathcal {F}\)</EquationSource> </InlineEquation>-transitive, where <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\mathcal {F}\)</EquationSource> </InlineEquation> is a Furstenberg family on a set <i>S</i>. By considering some specific Furstenberg families on <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\mathbb {N}\)</EquationSource> </InlineEquation>, some previous results in linear dynamics are recovered.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

\(\textrm{d} \mathcal {F}\)-transitive composition operators on Orlicz spaces

  • 期刊论文

  • 发表日期：

    2026年5月30日

查看全文
  • Ali Reza Bagheri Salec,
  • Chung-Chuan Chen,
  • Seyyed Mohammad Tabatabaie,
  • Hiba Hakim Maseer Al-Shammari

摘要

In this paper, we give sufficient and necessary conditions for some families of composition operators on the Orlicz space to be d \(\mathcal {F}\) -transitive and \(\mathcal {F}\) -transitive, where \(\mathcal {F}\) is a Furstenberg family on a set S. By considering some specific Furstenberg families on \(\mathbb {N}\) , some previous results in linear dynamics are recovered.