Abstract
We establish a factorization theorem for the Hardy space \(H^p(\mathbb{R}^n)\) \(\bigl(\frac{n}{n+1}<p <1\bigr)\) in terms of a multilinear fractional integral operator. As an application, a characterization of Lipschitz spaces via the boundedness of commutators of the multilinear fractional integral operator is obtained.
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Funding
This work was supported by NSF of China (No. 12101010), NSF of China of Anhui Province (No. 2108085QA19), and Key Scientific Project of Higher Education Institutions in Anhui Province (No. 2023AH050145).
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Zheng, S., Wang, D. & Zhu, R. Hardy Factorization in Terms of Multilinear Fractional Operator. Math Notes 114, 1052–1059 (2023). https://doi.org/10.1134/S0001434623110366
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DOI: https://doi.org/10.1134/S0001434623110366