与分数次积分和具有非光滑的奇异积分算子相关的Toeplitz型算子在Morrey空间的有界性

$M^k$-Type Sharp Estimates and Boundedness on Morrey Space for Toeplitz Type Operators Associated to Fractional Integral and Singular Integral Operator with Non-Smooth Kernel

中文关键词:  Toeplitz型算子  奇异积分算子  分数次积分算子  sharp极大函数  BMO  Morrey空间

英文关键词:Toeplitz type operator  singular integral operator  fractional integral operator  sharp maximal function  BMO  Morrey space

中文摘要:

      本文证明了与分数次积分和具有非光滑的奇异积分算子相关的Toeplitz型算子的sharp极大函数估计,做为应用,得到了该算子在Morrey空间的有界性.

英文摘要:

      In this paper, we prove the $M^k$-type sharp maximal function estimates for the Toeplitz type operators associated to the fractional integral and singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of the operators on the Morrey space.