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<p>In this paper, our main purpose is to establish a weak factorization of the classical Hardy spaces in terms of a multilinear Calderón-Zygmund operator on the ball Banach function spaces. Furthermore, a new characterization of the BMO space via the boundedness of the commutator generated by the multilinear Calderón-Zygmund operator is also obtained. The results obtained in this paper have generality. As examples, we apply the above results to weighted Lebesgue space, variable Lebesgue space, Herz space, mixed-norm Lebesgue space, Lorentz space and soon.</p>

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Weak factorizations of the Hardy spaces in terms of multilinear Calderón-Zygmund operators on ball banach function spaces

  • 期刊论文

  • 发表日期：

    2025年8月8日

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  • Y. Zhao,
  • X. Tao,
  • J. Zhou

摘要

In this paper, our main purpose is to establish a weak factorization of the classical Hardy spaces in terms of a multilinear Calderón-Zygmund operator on the ball Banach function spaces. Furthermore, a new characterization of the BMO space via the boundedness of the commutator generated by the multilinear Calderón-Zygmund operator is also obtained. The results obtained in this paper have generality. As examples, we apply the above results to weighted Lebesgue space, variable Lebesgue space, Herz space, mixed-norm Lebesgue space, Lorentz space and soon.