Multilinear square operators meet new weight functions

被引:2
作者
Li, Chunliang [1 ]
Yang, Shuhui [1 ]
Lin, Yan [1 ]
机构
[1] China Univ Min & Technol, Sch Sci, Beijing 100083, Peoples R China
来源
BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 197卷
基金
中国国家自然科学基金;
关键词
New multilinear square operator; Sharp maximal function; Weighted Lebesgue space; Weighted Morrey space; A(p)(theta)( phi ) weight; NORM INEQUALITIES; PSEUDODIFFERENTIAL-OPERATORS; SMOOTH SYMBOLS; MORREY SPACES; COMMUTATORS; EXTRAPOLATION;
D O I
10.1016/j.bulsci.2024.103515
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Via the new weight A(p)(theta)( phi ), the authors introduce a new class of multilinear square operators. The boundedness on the weighted Lebesgue space and the weighted Morrey space is obtained, respectively. Our results include the known results of the standard multilinear square operator and the weight A(p) . Moreover, the results in this article seem to be new even for one-linear case. (c) 2024 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
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页数:26
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