齐型空间上交换子的紧性(英文)  

Compactness of Commutators on Spaces of Homogeneous Type

作　　者：邱道文[1] 

机构地区：[1]清华大学计算机科学与技术系

出　　处：《数学进展》2003年第3期345-355,共11页Advances in Mathematics（China）

基　　金：Supported by the NSFC(No.19631080)and the Natural Scinence foundation of Guangdong Province(No.020146),and the Foundation of Zhongshan University for Young Teachers.

摘　　要：设(X,d,μ)是齐型空间。本文证明了分数次积分算子I_α与VMO函数构成的交换子I_α~b是L^p(X)到L^p(X)的紧算子,其中α∈(0,1),1<p<q<∞且1/q=1/p-α。Let (X, d, μ.) be a space of homogeneous type. In this paper, we prove that commutators of fractional integral operator Iα with VMO functions are compact from Lp(X) to Lq(X), where α ∈ (0,1), 1< p < q < ∞ and 1/a = 1/a - a.

关 键 词：齐型空间 交换子 紧性 分数次积分算子 VMO函数 三元组 拟矩阵 CALDERON-ZYGMUND算子 奇异积分算子 

分 类 号：O175.5[理学—数学]