The Boundedness of the Commutator for Riesz Potential Associated with Schrödinger Operator on Morrey Spaces
Year: 2014
Author: Dongxiang Chen, Liang Song
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 4 : pp. 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 $M_{\alpha,v}^{p_1,q_1}$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n4.3
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 4 : pp. 363–368
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Reverse Hölder class commutator Schrödinger operator.