粗糙核向量值奇异积分算子的几个加权赋范不等式  

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

作　　者：冯文莉[1] 商美娟[1] 刘晓娣[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》2013年第3期42-44,共3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)

摘　　要：向量值奇异积分算子的核决定着算子的性质和加权不等式,标准核向量值奇异积分算子的研究内容已经日趋完善,弱Dini型核以及粗糙核向量值奇异积分算子也有所研究,但研究内容不够完善,现继续研究粗糙核向量值奇异积分算子,得到了这类算子的几个加权赋范不等式,丰富了向量值奇异积分算子的理论.The nature of vector-valued singular integral operators and weighted inequalities are dependent on its kernel. The research results of standard kernel vector-valued singular integral operators are nearly periect. Weak Dini-type kernel and rough kernel vector-valued singular integral operators are studied. But the research contents are not perfect. This paper continues the study of rough kernel vector-valued singular integral operators, and it ob- tains the weighted inequalities of this kind of operators. So it enriches the theory of vector-valued singular integral operators.

关 键 词：向量值奇异积分算子 粗糙核 加权赋范不等式 

分 类 号：O174.2[理学—数学]