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具Dini条件奇异积分算子的加权赋范不等式
Wighted Norm Inequalities for Singular Integral Operators with Dini-type Condition
【摘要】 目前对奇异积分算子的研究基本上都要求核满足标准型条件,现把标准型条件减弱成Dini条件,证明了核满足Dini条件的奇异积分算子关于任意权函数的几个加权赋范不等式,扩大了奇异积分算子的研究范围.
【Abstract】 Now the study of singular integral operators is basically focused on standard kernel. It decreases the condition of kemel to Dini condition,and obtains some weighted norm inequalities for singular integral operators with Dini condition,it enlarges the studying scope of singular integral operators.
【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(08M001);石家庄学院自然科学基金(2007)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2009年13期
- 【分类号】O177
- 【被引频次】5
- 【下载频次】60