@Article{CMR-31-289,
author = {Mo , HuixiaYu , Dongyan and Sui , Xin},
title = {Boundedness of Commutators Generated by Campanato-Type Functions and Riesz Transforms Associated with Schrödinger Operators},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {31},
number = {4},
pages = {289--297},
abstract = {<p style="text-align: justify;">Let&nbsp;$\mathcal{L}&nbsp;= −∆ + V$ be a Schrödinger operator on&nbsp;$\boldsymbol{R}^n
, n &gt; 3$, where $∆$ is the Laplacian on $\boldsymbol{R}^n$
and $V&nbsp;≠&nbsp;0$ is a nonnegative function satisfying the reverse
Hölder&#39;s inequality. Let $[b, T]$ be the commutator generated by the Campanato-type function $b ∈ Λ^β_{\mathcal{L}}$&nbsp;and the Riesz transform associated with Schrödinger operator $T = ∇(−∆+V )^{\frac{1}{2}}$. In the paper, we establish the boundedness of $[b, T]$ on Lebesgue
spaces and Campanato-type spaces.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2015.04.01},
url = {http://global-sci.org/intro/article_detail/cmr/18911.html}
}