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 = {https://global-sci.com/article/74004/the-boundedness-of-the-commutator-for-riesz-potential-associated-with-schrodinger-operator-on-morrey-spaces} }