齐型空间上两类交换子的有界性  

Boundedness of commutators on spaces of homogeneous type

作　　者：许春蕊[1] 郭景芳[2] 倪志仁[3] 

机构地区：[1]炮兵指挥学院三系 [2]河北科技大学理学院 [3]石家庄经济学院数理学院

出　　处：《河北科技大学学报》2008年第2期92-95,共4页Journal of Hebei University of Science and Technology

摘　　要：在齐型空间X上引入由Lipschitz函数与Calderon-Zygmund奇异积分算子T定义的Triebel-Lizorkin空间.Fp,β∞及由分数次积分算子Iαf(x)确定的两类交换子Cf和Cfα,并证明了它们在Lebesgue函数空间的有界性。This paper introduces on spaces homogeneous type Triebel-Lizorkin space Fp^β,∞ which is defined by Lipschitz function and Calderon-Zygmund singular integral operator T, and it introduces two commutators Cf ,Cf^α which are decided by fractional integral operator I^αf（x）. It also proves their boundedness on Lebesgue function spaces.

关 键 词：齐型空间 LIPSCHITZ函数 交换子 

分 类 号：O173.2[理学—数学]