TY - JOUR T1 - Weighted Boundedness of Toeplitz Type Operator Associated to General Singular Integral Operator Satisfying a Variant of Hörmander’s Condition AU - Liu , Lanzhe AU - Zhou , Xiaoqi JO - Analysis in Theory and Applications VL - 3 SP - 284 EP - 298 PY - 2025 DA - 2025/09 SN - 41 DO - http://doi.org/10.4208/ata.OA-2024-0020 UR - https://global-sci.org/intro/article_detail/ata/24487.html KW - Toeplitz type operator, singular integral operator, sharp maximal function, weighted BMO,weighted Lipschitz function. AB -

In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the general singular integral operator satisfying a variant of Hörmander's condition. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.