TY - JOUR
T1 - Boundedness of Area Functions Related to Schrödinger Operators and Their Commutators in Weighted Hardy Spaces
AU - Tang , Lin
AU - Wang , Jue
AU - Zhu , Hua
JO - Analysis in Theory and Applications
VL - 3
SP - 362
EP - 386
PY - 2021
DA - 2021/09
SN - 37
DO - http://doi.org/10.4208/ata.2021.lu80.06
UR - https://global-sci.org/intro/article_detail/ata/19884.html
KW - Area functions, Schrödinger operator, weighted Hardy space.
AB - <p style="text-align: justify;">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 $WL^1(w).$</p>