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<p>It is well known that the inhomogeneous Calderón-Zygmund convolution operators are bounded on the local Hardy spaces. In this paper, we prove that these operators are bounded on the local product Hardy spaces and the Lipschitz spaces. The key ideas used here are the discrete local Calderón identity and a density argument for the inhomogeneous product Lipschitz spaces in the weak sense.</p>

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The boundedness of inhomogeneous Calderón-Zygmund convolution operators on local product Hardy spaces

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Shaoyong He,
  • Jiecheng Chen

摘要

It is well known that the inhomogeneous Calderón-Zygmund convolution operators are bounded on the local Hardy spaces. In this paper, we prove that these operators are bounded on the local product Hardy spaces and the Lipschitz spaces. The key ideas used here are the discrete local Calderón identity and a density argument for the inhomogeneous product Lipschitz spaces in the weak sense.