Let $T^{k,1}$ be the singular integrals with variable Calderόn-Zygmund kernels or $\pm I$ (the identity operator), let $T^{k,2}$ and $T^{k,4}$ be the linear operators, and let $T^{k,3}=\pm I$. Denote the Toeplitz type operator by
$$T^b=\sum_{k=1}^t(T^{k,1}M^bI_\alpha T^{k,2}+T^{k,3}I_\alpha M^b T^{k,4}),$$
where $M^bf=bf,$ and $I_\alpha$ is the fractional integral operator. In this paper, we investigate the boundedness of the operator on weighted Lebesgue space when $b$ belongs to weighted Lipschitz space.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2018-1012}, url = {https://global-sci.com/article/73840/weighted-norm-inequalities-for-toeplitz-type-operator-related-to-singular-integral-operator-with-variable-kernel} }