Scholarlink

<p>We obtain the boundedness for Hardy–Littlewood maximal operators on generalized Orlicz spaces in the abstract setting of measure spaces, which are equipped with a ball basis. Using this result, we establish an off-diagonal extrapolation and its applications, the boundedness for <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43034_2024_402_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathbb {B}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">B</mi> </math></EquationSource> </InlineEquation>-valued linear bounded oscillation operators, on generalized Orlicz spaces.</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–Littlewood maximal operators and generalized Orlicz spaces on measure spaces

  • 期刊论文

  • 发表日期：

    2025年1月2日

查看全文
  • Haiyan Zhou,
  • Xiaoqian Song,
  • Songbai Wang,
  • Jiang Zhou

摘要

We obtain the boundedness for Hardy–Littlewood maximal operators on generalized Orlicz spaces in the abstract setting of measure spaces, which are equipped with a ball basis. Using this result, we establish an off-diagonal extrapolation and its applications, the boundedness for \({\mathbb {B}}\) B -valued linear bounded oscillation operators, on generalized Orlicz spaces.