具有Dini核奇异积分算子的几个加权赋范不等式

Weighted norm inequalities for singular integral operators with Dini-type condition

目前研究的奇异积分算子核基本上都具有标准核,本文把标准核的条件减弱成Dini条件,并证明了具有Dini型核的奇异积分算子关于任意权函数的几个加权赋范不等式。

The present study of singular integral operator is basically with standard kernel. This paper declines the condition of kernel to Dini-type condition and obtains some weighted norm inequalities for the singular integral operator with Dini-type kernel.