与强奇异Calderon-Zygmund算子有关的Topelitz型算子在Morrey空间上的有界性  

The Boundedness of Topelitz Operator Related to Strongly Calderon-Zygmund Operator on Centre Morrey Space

作　　者：宋亮[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西科学》2013年第6期725-727,747,共4页Jiangxi Science

摘　　要：建立了与强奇异Calderon-Zygmund算子相关的Topelitz型算子的sharp极大函数的点态估计,利用该估计和分数次极大函数的有界性,得到了Topelitz型算子在中心Morrey空间上的有界性,由此还可推广得到强奇异Calderon-Zygmund算子的交换子在中心Morrey空间上的有界性。The pointwise estimate of the sharp maximum functions of Topelitz type operators related to the strongly Calderon-Zygmund operators have been built,we employ the estimate and the houndedness of the fractional maximum functions to obtain the boundedness of the Topelitz type operators on central Morrey spaces. As applications, we also get the boundedness of the commutators of the strong- ly Calderon-Zygmund operators on central Morrey spaces.

关 键 词：Topelitz型算子 强奇异Calderon-Zygmund算子 λ中心BMO 

分 类 号：O174.2[理学—数学]