粗糙核向量值奇异积分算子的加权不等式  

Weighted Inequalities for the Vector-Valued Singular Integral Operators with Rough Kernel

作　　者：冯文莉[1] 唐加冕[1] 刘学军[1] 张东凯[1] 

机构地区：[1]石家庄学院数学与信息科学系,河北石家庄050035

出　　处：《石家庄学院学报》2012年第6期30-33,共4页Journal of Shijiazhuang University

基　　金：河北省教育厅自然科学基金(Z2012003);石家庄学院自然科学基金(11YB009;11YB008)

摘　　要：标准核向量值奇异积分算子理论已日趋完善,弱Dini型核向量值奇异积分算子理论也有所研究,把核的条件继续减弱成粗糙的LS,ε-Dini型,得到了具有LS,ε-Dini型核向量值奇异积分算子的加权不等式,改进了以往的结果.The theory of standard kernel vector-valued singular integral operators is nearly perfect. Dini-type kernel Vector-Valued singular integral operators is studied. Now it decreases the condition of kernel to rough L^S,ε-Dini type, and it obtains the weighted inequalities of vector-valued singular integral operators with L^S,ε-Dini condition. So, it improves the previous results.

关 键 词：向量值奇异积分算子 LS ε-Dini型核 加权不等式 

分 类 号：O174.2[理学—数学]