Boundedness for Toeplitz type operators related to singular integral operators satisfying a variant of Hörmander’s condition. (Chinese. English summary) Zbl 1289.42063
Summary: We establish some sharp maximal function inequalities for the Toeplitz type operators related to certain singular integral operators satisfying a variant of Hörmander’s condition. As an application, we obtain the boundedness of the operators on Lebesgue, Morrey and Triebel-Lizorkin spaces.
MSC:
42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
42B25 | Maximal functions, Littlewood-Paley theory |