向量值多线性奇异积分算子的加权Sharp不等式  

Weighted Sharp Inequality for Vector⁃valued Multilinear Singular Integral Operator

作　　者：赵巧珍[1] 黄得建 ZHAO Qiaozhen;HUANG Dejian(Basic Teaching Department,Jiaxing Nanyang Polytechnic Institute,Jiaxing Zhejiang 314031,China;School of Science,Hainan Tropical Ocean University,Sanya Hainan 572022,China)

机构地区：[1]嘉兴南洋职业技术学院基础教学部,浙江嘉兴314031 [2]海南热带海洋学院理学院,海南三亚572022

出　　处：《海南热带海洋学院学报》2024年第2期96-103,共8页Journal of Hainan Tropical Ocean University

基　　金：嘉兴南洋职业技术学院科研项目(Ky22013)。

摘　　要：利用不等式、原子分解性质研究了向量值多线性算子,证明了某些向量值多线性奇异积分算子的一个加权Sharp不等式,并利用此不等式得到了该向量值多线性算子的加权L^(p)型不等式和L log L型不等式。The vecto⁃valued multilinear operators were investigated by using inequalities and atomic decomposition prop⁃erties.A weighted Sharp inequality for some vector⁃valued multilinear singular integral operators was proved.By using this in⁃equality,the weighted L^(p)⁃norm inequality and Llog L⁃type inequality for the vector⁃valued multilinear operators were obtained.

关 键 词：向量值多线性算子 奇异积分算子 Sharp不等式 BMO A_(p)-加权 

分 类 号：O174.2[理学—数学]