与一类奇异积分算子相关的Toeplitz型算子的有界性

Boundedness of Toeplitz Type Operator Associated to some Singular Integral Operator

对与具有一般核的分数次奇异积分算子相关的Toeplitz型算子,本文证明了其sharp极大函数不等式,作为应用,得到了该算子在Lebesgue空间,Morrey空间和Triebel-Lizorkin空间的有界性.

In this paper, we establish the sharp maximal function inequalities forthe Toeplitz type operator associated to the fractional integral and singular integral operator with general kernel. As an application, we obtain the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces.