@Article{ATA-30-363, author = {Dongxiang Chen , and Liang Song , }, title = {The Boundedness of the Commutator for Riesz Potential Associated with Schrödinger Operator on Morrey Spaces}, journal = {Analysis in Theory and Applications}, year = {2014}, volume = {30}, number = {4}, pages = {363--368}, abstract = {

Let $\mathcal{L}=-\Delta+V$ be the Schrödinger operator on $\mathbb{R}^d$, where $\Delta$ is the Laplacian on $\mathbb{R}^{d}$ and $V\ne0$ is a nonnegative function satisfying the reverse Hölder's inequality. The authors prove that Riesz potential $\mathcal{J}_{\beta}$ and its commutator $[b,\mathcal{J}_{\beta}]$ associated with $\mathcal{L}$ map from $M_{\alpha,v}^{p,q}$ into $M_{\alpha,v}^{p_1,q_1}$.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n4.3}, url = {http://global-sci.org/intro/article_detail/ata/4500.html} }