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<p>This paper has two purposes. First, we show that the classical Stein-Weiss inequality is true for <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(p=1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>=</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>. Second, by considering a family of strong fractional integral operators whose kernels have singularity on every coordinate subspace, we extend this end-point result to the multi-parameter settings.</p>

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On the End-Point of Stein-Weiss Inequality

  • 期刊论文

  • 发表日期：

    2026年2月2日

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  • Chuhan Sun,
  • Zipeng Wang

摘要

This paper has two purposes. First, we show that the classical Stein-Weiss inequality is true for \(p=1\) p = 1 . Second, by considering a family of strong fractional integral operators whose kernels have singularity on every coordinate subspace, we extend this end-point result to the multi-parameter settings.