The factorizations of H^ρ(ℝⁿ) via multilinear Calderón-Zygmund operators on weighted Lebesgue spaces

2021/12/12 by Dinghuai Wang, Rongxiang Zhu, Wang, Dinghuai +2
Mathematics · Social Sciences · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Polish Law and Legal System #Polish Legal and Social Issues

paper · pdf · doi:10.48550/arxiv.2112.06252

openalex publication_date 2021/12/12 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

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(ℝⁿ) space and Lipschitz spaces via the weighted boundedness of commutators of multilinear Calderón-Zygmund operators with the genuinely multilinear weights.

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