@Article{ATA-37-3, author = {Tang, Lin and Wang, Jue and Zhu, Hua}, title = {Boundedness of Area Functions Related to Schrödinger Operators and Their Commutators in Weighted Hardy Spaces}, journal = {Analysis in Theory and Applications}, year = {2021}, volume = {37}, number = {3}, pages = {362--386}, abstract = {

In this paper, we consider the area function $S_Q$ related to the Schrödinger operator $\mathcal{L}$ and its commutator $S_{Q,b}$, establish the boundedness of $S_Q$ from $H^p_\rho(w)$ to $L^p(w)$ or $WL^p(w),$ as well as the boundedness of $S_{Q,b}$ from $H^1_\rho(w)$ to $WL^1(w).$

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2021.lu80.06}, url = {https://global-sci.com/article/73791/boundedness-of-area-functions-related-to-schrodinger-operators-and-their-commutators-in-weighted-hardy-spaces} }