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<p>It is well-established in harmonic analysis that Calderón-Zygmund convolution operators adapted to non-isotropic dilations are bounded on non-isotropic Hardy spaces. Similarly, product Calderón-Zygmund operators are known to be bounded on classical product Hardy spaces. The principal contribution of this paper is to extend these results by demonstrating that classical Calderón-Zygmund convolution operators with non-isotropic homogeneity remain bounded on product Hardy spaces.</p>

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Boundedness of Calderón-Zygmund convolution operators associated with non-isotropic homogeneity on product Hardy space

  • 期刊论文

  • 发表日期：

    2026年8月5日

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  • Yuying Chen,
  • Yanchang Han,
  • Yipeng Lin,
  • Chaoqiang Tan

摘要

It is well-established in harmonic analysis that Calderón-Zygmund convolution operators adapted to non-isotropic dilations are bounded on non-isotropic Hardy spaces. Similarly, product Calderón-Zygmund operators are known to be bounded on classical product Hardy spaces. The principal contribution of this paper is to extend these results by demonstrating that classical Calderón-Zygmund convolution operators with non-isotropic homogeneity remain bounded on product Hardy spaces.