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<p>Two classes of Hörmander type conditions are introduced in the present paper. These conditions are weaker strictly than the classical standard Calderón–Zygmund kernels. A systematical study is given for the bounds of the Calderón–Zygmund operator with the above Hörmander type kernels and their commutators on the weighted Hardy spaces. The main results of this paper essentially improve a large classes of classical works. It should be pointed out that the main results are new, even in the unweighted case.</p>

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Calderón–Zygmund operators and commutators on weighted Hardy spaces

  • 期刊论文

  • 发表日期：

    2026年2月23日

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  • Y. Han,
  • F. Liu,
  • H. Wu

摘要

Two classes of Hörmander type conditions are introduced in the present paper. These conditions are weaker strictly than the classical standard Calderón–Zygmund kernels. A systematical study is given for the bounds of the Calderón–Zygmund operator with the above Hörmander type kernels and their commutators on the weighted Hardy spaces. The main results of this paper essentially improve a large classes of classical works. It should be pointed out that the main results are new, even in the unweighted case.