P-Adic域上的多线性分数次Hardy算子交换子的估计  

Estimations of Multilinear Fractional Hardy Operators Commutators in the P-Adic Fields

作　　者：刘荣辉 周疆[1] LIU Rong-hui;ZHOU Jiang(College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,乌鲁木齐830046

出　　处：《西南师范大学学报（自然科学版）》2018年第2期6-13,共8页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11661075)

摘　　要：介绍了P-Adic域上的多线性分数次Hardy算子及其交换子的定义,并证明了P-Adic域上的多线性分数次Hardy算子与中心P-Adic BMO函数生成的交换子在齐次P-Adic Herz空间上的有界性,同时也考虑了P-Adic Lipschitz函数生成的交换子的相应结果.We will introduce the definition of multilinear fractional Hardy operators and its commutators in the P-Adic fields,and commutators generated by central P-Adic BMO functions and multilinear fractional Hardy operator in the P-Adic fields are bounded on the homogeneous P-Adic Herz spaces.Meanwhile,the corresponding results of the commutators of P-Adic Lipschitz are also considered.

关 键 词：多线性分数次Hardy算子 P-ADIC域 中心P-Adic BMO函数 P-ADIC LIPSCHITZ函数 P-ADIC Herz空间 交换子 

分 类 号：O174.2[理学—数学]