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Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces

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Abstract

In this paper, we provide a constructive proof of \(\mathbf {H}^{1}(\mathbb {R}^{n})\) factorization in terms of multilinear Calderón–Zygmund operators in Morrey spaces. As a direct application, we obtain a characterization of functions in \(\text {BMO}(\mathbb {R}^{n})\) via commutators of multilinear Calderón–Zygmund operators. Furthermore, we prove a Morrey compactness characterization of [b, T]l, the commutator in the l-th entry.

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Authors and Affiliations

  1. Institute of Applied Mathematics, University of Economics Ho Chi Minh City, Ho Chi Minh City, Vietnam

    Nguyen Anh Dao

  2. Department of Mathematics, Washington University St. Louis, St. Louis, MO, 63130-4899, USA

    Brett D. Wick

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  1. Nguyen Anh Dao
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  2. Brett D. Wick
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Correspondence to Nguyen Anh Dao.

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B.D.Wick’s research is supported in part by National Science Foundation DMS grant #1800057 and Australian Research Council DP 190100970.

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Dao, N.A., Wick, B.D. Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces. Potential Anal 59, 41–64 (2023). https://doi.org/10.1007/s11118-021-09960-x

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