@Article{ATA-35-377,
author = {He , Yuexiang},
title = {Weighted Norm Inequalities for Toeplitz Type Operator Related to Singular Integral Operator with Variable Kernel},
journal = {Analysis in Theory and Applications},
year = {2020},
volume = {35},
number = {4},
pages = {377--391},
abstract = {<p style="text-align: justify;">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</p><p style="text-align: justify;">$$T^b=\sum_{k=1}^t(T^{k,1}M^bI_\alpha T^{k,2}+T^{k,3}I_\alpha M^b T^{k,4}),$$</p><p style="text-align: justify;">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.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2018-1012},
url = {http://global-sci.org/intro/article_detail/ata/13618.html}
}