THE BOUNDEDNESS OF TOEPLITZ-TYPE OPERATORS ON VANISHING-MORREY SPACES  

作　　者：Xiaoniu Cao Dongxiang Chen 

机构地区：[1]Jiangxi Normal University, China

出　　处：《Analysis in Theory and Applications》2011年第4期309-319,共11页分析理论与应用（英文刊）

基　　金：Supported by NNSF(10961015, 10871173);the NSF of Jiangxi province (2008GZS0051);the growth foundation of Jxnu(2714);the NSF of teaching derision of Jiangxi province (GJJ10397)

摘　　要：In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space.In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space.

关 键 词：Toeplitz-type operator generalized fractional integral vanishing-Morreyspace 

分 类 号：O175.3[理学—数学] O177.3[理学—基础数学]