Scholarlink

<p>In this paper, we define the grand central Morrey spaces and the grand local central Morrey spaces. For power weights, we obtain the necessary and sufficient conditions for the boundedness of Hardy–Cesàro operators <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(U_{\psi ,s,d}\)</EquationSource> </InlineEquation> on these spaces. Simultaneously, we establish some sufficient conditions for the boundedness of Hardy–Cesàro operators <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(U_{\psi , s, d}\)</EquationSource> </InlineEquation> on the grand central Morrey spaces with Muckenhoupt weights. Moreover, the boundedness for the commutators of Hardy–Cesàro operators <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(U^b_{\psi , s, d}\)</EquationSource> </InlineEquation> on the grand central Morrey spaces with symbols in the <i>CMO</i> space and the Lipschitz space is also obtained.</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

Hardy–Cesàro operators and commutators on grand central Morrey spaces

  • 期刊论文

  • 发表日期：

    2026年3月27日

查看全文
  • Tran Thi Nang,
  • Kieu Huu Dung,
  • Pham Thi Kim Thuy

摘要

In this paper, we define the grand central Morrey spaces and the grand local central Morrey spaces. For power weights, we obtain the necessary and sufficient conditions for the boundedness of Hardy–Cesàro operators \(U_{\psi ,s,d}\) on these spaces. Simultaneously, we establish some sufficient conditions for the boundedness of Hardy–Cesàro operators \(U_{\psi , s, d}\) on the grand central Morrey spaces with Muckenhoupt weights. Moreover, the boundedness for the commutators of Hardy–Cesàro operators \(U^b_{\psi , s, d}\) on the grand central Morrey spaces with symbols in the CMO space and the Lipschitz space is also obtained.