Singular integrals associated with Zygmund dilations on multiparameter weighted Hardy spaces

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The boundedness of singular integral operators has been established in three-parameter settings, showing significant findings.
Using the Rubio de Francia extrapolation technique, new results are introduced in product Hardy spaces linked to quasi-Banach spaces.
Application to specific function spaces like Herz spaces resulted in entirely new insights, highlighting versatility.
The findings have implications for broader mathematical theories and practices involving function spaces and integral operators.

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The paper demonstrates the boundedness of singular integral operators in weighted Hardy spaces, indicating their broader applicability.

Jian Tan (2025) studied this question.

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