一类奇异积分算子的加权Triebel-Lizorkin有界性

Weighted Bounds For A Class Of Sigular Integral On Triebel-Lizorkin Spaces

利用Littlewood-Paley分解及插值方法得到了奇异积分算子Tf(x)=∑+∞j=-∞Kj*f(x)在加权Triebel-Lizorkin空间上的有界性,作为应用,对粗糙核奇异积分Tf(x)=p.v.∫Rn│Ω(y′)y│nf(x-y)dy也得到了相应结果.

Using the Littlewood-Paley decomposition and interpolation methods,the weighted estimates on Triebel-Lizorkin spaces for a class of sigular integral operators which is defined by Tf(x)=∑+∞j=-∞Kj*f(x) As a application,the corresponding result is also obtained for the rough kernel singular integral which is defined by Tf(x)=p.v.∫RnΩ(y')│y│nf(x-y)dy.