Scholarlink

<p>This paper aims to examine the boundedness of Parametric Marcinkiewicz integrals with rough kernels in variable Morrey type spaces <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal {M}^v_{r(\cdot )}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mrow> <mi mathvariant="script">M</mi> </mrow> <mrow> <mi>r</mi> <mo stretchy="false">(</mo> <mo>·</mo> <mo stretchy="false">)</mo> </mrow> <mi>v</mi> </msubsup> </math></EquationSource> </InlineEquation>. Additionally, we will demonstrate that the commutator of these integrals is also bounded in variable Morrey type spaces <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathcal {M}^v_{r(\cdot )}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mrow> <mi mathvariant="script">M</mi> </mrow> <mrow> <mi>r</mi> <mo stretchy="false">(</mo> <mo>·</mo> <mo stretchy="false">)</mo> </mrow> <mi>v</mi> </msubsup> </math></EquationSource> </InlineEquation>.</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

Estimates of rough parametric Marcinkiewicz integrals and their commutator on variable Morrey type spaces

  • 期刊论文

  • 发表日期：

    2026年7月27日

查看全文
  • Omer Khalil,
  • Tao Shuangping,
  • Bachir Mahamat,
  • Afif Abdalmonem,
  • Khalid Ahmed Abbakar

摘要

This paper aims to examine the boundedness of Parametric Marcinkiewicz integrals with rough kernels in variable Morrey type spaces \(\mathcal {M}^v_{r(\cdot )}\) M r ( · ) v . Additionally, we will demonstrate that the commutator of these integrals is also bounded in variable Morrey type spaces \(\mathcal {M}^v_{r(\cdot )}\) M r ( · ) v .