Weak factorizations of the Hardy space in terms of multilinear fractional integral operator

2021/12/12 by Dinghuai Wang, Rongxiang Zhu, Wang, Dinghuai +1
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2112.06249

openalex publication_date 2021/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a constructive proof of the factorization theorem for the classical Hardy space in terms of fractional integral operator. Moreover, the result is extended to the multilinear case and weighted case. As an application, we obtain the characterization of BMO via the weighted boundedness of commutators of the multilinear fractional integral operator, without individual conditions on the weights class.

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