广义加权变指标Morrey空间上双线性θ-型Calderón-Zygmund算子
Bilinear θ-type Calderón-Zygmund operators on generalized weighted variable exponent Morrey spaces
芮俪 1逯光辉 1李雪梅1
作者信息
- 1. 西北师范大学数学与统计学院,甘肃兰州 730070
- 折叠
摘要
利用双线性θ-型Calderon-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b1,b2 ∈ BMO(Rn)生成的交换子在广义加权变指标Morrey空间上是有界的.
Abstract
Via the boundedness of the bilinear θ-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 bilinear θ-type Calderón-Zygmund operators and b,,b2 ∈ BMO(Rn)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Key words
Morrey type space/weighted/variable exponent/Calderón-Zygmund operator/commutator/BMO space引用本文复制引用
基金项目
国家自然科学基金(12201500)
甘肃省青年科技项目(22JR5RA173)
甘肃省优秀研究生"创新之星"资助项目(2022CXZX-327)
出版年
2024
NETL
NSTL
万方数据