一类拟微分算子及其交换子在Morrey空间上的新加权模不等式  

New Weighted Norm Inequalities for Certain Classes of Pseudo-Differential Operators and Their Commutators on Morrey Sapces

作　　者：胡喜 周疆[1] HU Xi;ZHOU Jiang(College of Mathematics and System Sciences,Xinjiang University,Urumqi,Xingjiang,830046,China)

机构地区：[1]新疆大学数学与系统科学学院,中国乌鲁木齐830046

出　　处：《湖南师范大学自然科学学报》2018年第6期82-87,共6页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(11661075)

摘　　要：证明了一类拟微分算子T及其与BMO∞函数生成的交换子在加权Morrey空间上有界.此外,也得到了算子T在加权Morrey空间上的弱有界性.In this paper,the authors proved that for certain classes of pseudo-differential operators T and commutators generated by T and BMO .functions are bounded on weighted Morrey spaces.In addition,the weak boundedness of T on weighted Morrey spaces is also obtained.

关 键 词：新权 新BMO 加权模不等式 交换子 MORREY空间 

分 类 号：O175.3[理学—数学]