带Dini核的多线性Calderon-Zygmund算子及其交换子的一些估计  

Some estimates for multi-linear Calderon-Zygmund operators with Dini's kernel and their commutators on generalized Morrey spaces

作　　者：赵毅春 周疆[1] ZHAO Yi-chun;ZHOU Jiang(College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,Xinjiang,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《西北师范大学学报（自然科学版）》2021年第3期1-6,共6页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11826202,11661075)。

摘　　要：建立了带Dini核的多线性Calderon-Zygmund算子从广义多范数Morrey空间到广义Morrey空间的一个更加精确的估计,得到带Dini核的多线性Calderon-Zygmund算子与BMO函数生成的交换子及迭代交换子是有界算子.A more precise estimate of multilinear Calderon-Zygmund operators with Dini kernels is established on generalized Morrey spaces,the boundedness is given for commutator that is generated by multilinear Calderon-Zygmund operators with Dini's kernel and BMO function on generalized Morrey spaces.

关 键 词：Dini核 多线性Calderon-Zygmund算子 广义MORREY空间 交换子 

分 类 号：O174.2[理学—数学]