多线性奇异积分算子在广义Morrey空间上的精确估计  

Sharp estimates for multi-linear singular integral operators on generalized Morrey spaces

作　　者：周疆[1] 胡喜 ZHOU Jiang;HU Xi(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）》2018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(11661075)

摘　　要：给出了广义多范数Morrey空间的定义,运用新的分环方法得到了多线性奇异积分算子是从广义多范数Morrey空间到广义Morrey空间上的有界算子;对于端点情形,也得到了一个弱性的结果.The definition of generalized multi-norm Morrey space is established in this paper.It is proved that multi-linear singular integral operators are bounded from generalized multi-norm Morrey space to generalized Morrey space.Furthermore,a weak type of endpoint estimate is also obtained.

关 键 词：多线性奇异积分算子 广义MORREY空间 精确估计 端点估计 

分 类 号：O174.2[理学—数学]