TY - JOUR
T1 - Toeplitz Type Operator Associated to Singular Integral Operator with Variable Kernel on Weighted Morrey Spaces
JO - Analysis in Theory and Applications
VL - 1
SP - 90
EP - 102
PY - 2016
DA - 2016/01
SN - 32
DO - http://doi.org/10.4208/ata.2016.v32.n1.8
UR - https://global-sci.org/intro/article_detail/ata/4657.html
KW - Toeplitz type operator, singular integral operator, variable Calderόn-Zygmund kernel, weighted BMO function, weighted Lipschitz function, weighted  Morrey space.
AB - <p style="text-align: justify;">Suppose $T^{k,1}$ and $T^{k,2}$ are singular integrals with variable kernels and mixed homogeneity or $\pm I$ (the identity operator). Denote the Toeplitz type operator by\begin{align*}T^b=\sum_{k=1}^QT^{k,1}M^bT^{k,2}, \end{align*} where $M^bf=bf.$ In this paper, the boundedness of $T^b$ on weighted Morrey space are obtained when $b$ belongs to the weighted Lipschitz function space and weighted BMO function space, respectively.</p>