首先建立了由λ-中心BMO函数和Calderon-Zygmund型奇异积分算子生成的Toeplitz算子的sharp极大函数的点态估计,利用该估计和分数次极大算子在中心Morrey空间的有界性,证明了该Toeplitz算子是B~(p_1,λ_1)到B~(q,λ)上的有界算子.作为应用得到了分数次积分算子的交换子在中心Morrey空间的有界性.
In this paper,the point-wise estimates of the sharp maximal function inequalities for Toeplitz type operator associated to the fractional integral operator with general kernel are established and the authors show that the Toeplitz operator is bounded from B~(p_1,λ_1) into B~(q,λ).As an application, the A-Central BMO estimates for Toeplitz type operators associated to some singular Integral operator are also obtained.