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.
出处
《数学进展》
CSCD
北大核心
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.
