广义加权变指标Morrey空间上双线性θ-型Calderón-Zygmund算子  

Bilinear S-type Calderon-Zygmund operators on generalized weighted variable exponent Morrey spaces

作　　者：芮俪 逯光辉 李雪梅 RUI Li;LU Guanghui;LI Xuemei(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2024年第4期62-72,共11页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12201500);甘肃省青年科技基金计划资助项目(22JR5RA173);甘肃省优秀研究生“创新之星”资助项目(2022CXZX-327)。

摘　　要：利用双线性θ-型Calderón-Zygmund算子在变指标Lebesgue空间的有界性以及函数空间控制关系,以及在假设函数u满足某些特定的条件下,证明双线性θ-型Calderón-Zygmund算子从乘积广义加权变指标Morrey空间到广义加权变指标Morrey空间上有界;同时也证明由双线性θ-型Calderón-Zygmund算子和b_(1),b_(2)∈BMO(Rn)生成的交换子在广义加权变指标Morrey空间上是有界的。Via the boundedness of the bilinearθ-type Calderón-Zygmund operators in the variable index Lebesgue space and the control relations in the function spaces,and assuming that the functions u meet certain conditions,the authors prove that the bilinearθ-type Calderón-Zygmund operators are bounded from product generalized weighted variable exponent Morrey spaces to generalized weighted variable exponent Morrey spaces.Furthermore,the authors also prove that the commutators generated by the bilinearθ-type Calderón-Zygmund operators and b_(1),b_(2)∈BMO(R^(n))are bounded on generalized weighted variable exponent Morrey spaces.

关 键 词：Morrey型空间 加权 变指标 CALDERÓN-ZYGMUND算子 交换子 BMO空间 

分 类 号：O174.2[理学—数学]