奇异积分算子在广义Campanato空间上有界性  

On the Boundedness of Singular Integeral Operator in the Generalized Campanato Space

作　　者：朱诗红[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《安徽师范大学学报（自然科学版）》2006年第4期311-314,共4页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金(10371087);安徽省教育厅自然科学基金重点项目(2003kj034zd)

摘　　要：我们知道,零次齐次函数Ω(x)满足Lq-Dini条件时,奇异积分算子T是Lp有界的,其中1<p<∞.本文讨论Ω(x)满足条件强于Lq-Dini条件下,利用T的Lp有界性,证明了T在广义Canpanato空间的有界性.It is known that when a homogeneous function of degree zero satisfies L^q -Dini condition, the singular integral operator is bounded on L^p（1 〈 p 〈 ∞）. In this paper, we discuss that Ω（x） satisfies the condition is stronger than that of L^q- Dini and using the boundedness of T on L^p, we will prove that T is also bounded on the generalized Campanato space.

关 键 词：奇异积分算子 广义Campanato空间 L^q—Dini条件 

分 类 号：O175.14[理学—数学]