TY - JOUR
T1 - Toeplitz Operator Related to Singular Integral with Non-Smooth Kernel on Weighted Morrey Space
AU - Y. X. He
JO - Analysis in Theory and Applications
VL - 3
SP - 240
EP - 252
PY - 2017
DA - 2017/08
SN - 33
DO - http://doi.org/10.4208/ata.2017.v33.n3.5
UR - https://global-sci.org/intro/article_detail/ata/10515.html
KW - Toeplitz  operator, non-smooth kernel, weighted BMO, fractional integral, weighted Morrey space.
AB - <p style="text-align: justify;">Let $T_{1}$ be a singular integral with non-smooth kernel or $\pm I$, let $T_{2}$ &nbsp;and $T_{4}$ be the linear operators and &nbsp;let $T_{3}=\pm I$. Denote the Toeplitz type operator by$$T^b=T_{1}M^bI_\alpha T_{2}+T_{3}I_\alpha M^b T_{4},$$where $M^bf=bf,$ and $I_\alpha$ is the fractional integral operator. In this paper, we investigate the boundedness of the operator $T^b$ on the weighted Morrey space when $b$ belongs to the weighted BMO space.</p>