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具有Dini条件奇异积分算子的加权不等式
Weighted Inequalities for Singular Integral Operators with Dini-Type Condition
【摘要】 研究了具有标准核的奇异积分算子,为了扩大奇异积分算子的研究范围,现将核的条件减弱成Dini条件,利用核的性质及一些技巧性估计,得到Dini型核奇异积分算子关于任意权函数的几个加权赋范不等式.
【Abstract】 Now the study of singular integral operator with standard kernel is very popular.In order to enlarge the research scope,the authors decline the condition of kernel to Dini-type condition;and by using the quality of kernel and technique estimation,the authors obtain some weighted norm inequalities for the singular integral operator with Dini-type condition.
【关键词】 奇异积分算子;
Dini条件;
加权赋范不等式;
【Key words】 singular integral operator; Dini-type condition; weighted norm inequality;
【Key words】 singular integral operator; Dini-type condition; weighted norm inequality;
【基金】 河北省自然科学基金资助项目(08M001);石家庄学院自然科学基金资助项目(2007)
- 【文献出处】 吉首大学学报(自然科学版) ,Journal of Jishou University(Natural Sciences Edition) , 编辑部邮箱 ,2009年02期
- 【分类号】O177
- 【下载频次】25