@Article{ATA-41-197,
author = {Wang , Yanhui},
title = {Estimates for Parabolic Schrödinger Operators with Certain Nonnegative Potentials},
journal = {Analysis in Theory and Applications},
year = {2025},
volume = {41},
number = {3},
pages = {197--207},
abstract = {<p style="text-align: justify;">In this paper, the parabolic Schrödinger operator $\mathcal{P}={\partial}_t-\triangle+V(x)$ on $\mathbb{R}^{n+1}$ is considered, where $n\ge3,$ nonnegative potential $V$ belongs to the reverse
 Hölder class $RH_q$ with $q \ge n /2$. The $L^p$ boundedness of operators $V^{\alpha}\mathcal{P}^{-\beta},$ $V^{\alpha}{\nabla}\mathcal{P}^{-\beta}$ and their adjoint operators are established.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2023-0009},
url = {http://global-sci.org/intro/article_detail/ata/24472.html}
}