@Article{ATA-32-205, author = {C. Xue, K. Zhu and Y. P. Chen}, title = {Boundedness for the Singular Integral with Variable Kernel and Fractional Differentiation on Weighted Morrey Spaces}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {3}, pages = {205--214}, abstract = {

Let $T$ be the singular integral operator with variable kernel, $T^*$ be the adjoint of $T$ and $T^{\sharp}$ be the pseudo-adjoint of $T$. Let $T_1T_2$ be the product of $T_1$ and $T_2,$ $T_1\circ T_2$ be the pseudo product of $T_1$ and $T_2.$ In this paper, we establish the boundedness for commutators of these operators and the fractional differentiation operator $D^\gamma$ on the weighted Morrey spaces.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n3.1}, url = {http://global-sci.org/intro/article_detail/ata/4666.html} }