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arXiv · 2112.06252

The factorizations of $H^\rho(\mathbb{R}^n)$ via multilinear Calder\'{o}n-Zygmund operators on weighted Lebesgue spaces

Dinghuai Wang·Rongxiang Zhu·Lisheng Shu
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Abstract

We extend the recently much-studied Hardy factorization theorems to the weight case. The key point of this paper is to establish the factorization theorems without individual condition on the weight functions. As a direct application, we obtain the characterizations of $BMO(\mathbb{R}^n)$ space and Lipschitz spaces via the weighted boundedness of commutators of multilinear Calder\'{o}n-Zygmund operators with the genuinely multilinear weights.

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Dinghuai Wang, Rongxiang Zhu, Lisheng Shu. 2021-12-12. The factorizations of $H^\rho(\mathbb{R}^n)$ via multilinear Calder\'{o}n-Zygmund operators on weighted Lebesgue spaces. https://arxiv.org/abs/2112.06252

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