The factorizations of $H^\rho(\mathbb{R}^n)$ via multilinear Calder\'{o}n-Zygmund operators on weighted Lebesgue spaces
| Autor: | Wang, Dinghuai, Zhu, Rongxiang, Shu, Lisheng |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 22 pages |
| Databáze: | arXiv |
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