On joint bump conditions for multilinear square functions

作     者：Chen, Yanping Zhang, Li 

作者机构：Univ Sci & Technol Beijing Sch Math & Phys Dept Appl Math Beijing 100083 Peoples R China 

出 版 物：《JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS》 (J. Pseudo-Differ. Oper. Appl.)

年 卷 期：2025年第16卷第1期

页      面：1-24页

核心收录：

基　　金：Yanping Chen's National Natural Science Foundation of China [12371092  12326366] 

主　　题：Multilinear square functions Sparse operators The joint bump conditions 

摘      要：We provide the joint bump conditions for multilinear square functions in the setting of multiple dependent weights by extending the ideas of Lerner s (2022) separated bump conditions for Calder & oacute;n-Zygmund operators, and Li s (2021) Orlicz bump conditions for general sublinear operators. In this paper, Theorems 1.1, 1.3 are new even in the linear case. Theorem 1.2 improves the result of Cao et al. (2021) for multilinear square functions.