TY - JOUR
T1 - The Boundedness of the Commutator for Riesz Potential Associated with Schrödinger Operator on Morrey Spaces
AU - Dongxiang Chen , 
AU - Liang Song , 
JO - Analysis in Theory and Applications
VL - 4
SP - 363
EP - 368
PY - 2014
DA - 2014/11
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n4.3
UR - https://global-sci.org/intro/article_detail/ata/4500.html
KW - Reverse Hölder class, commutator, Schrödinger operator.
AB - <p style="text-align: justify;">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&#39;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 $M_{\alpha,v}^{p_1,q_1}$.</p>