Boundedness of Area Functions Related to Schrödinger Operators and Their Commutators in Weighted Hardy Spaces
Year: 2021
Author: Lin Tang, Jue Wang, Hua Zhu
Analysis in Theory and Applications, Vol. 37 (2021), Iss. 3 : pp. 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 $WL^1(w).$
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2021.lu80.06
Analysis in Theory and Applications, Vol. 37 (2021), Iss. 3 : pp. 362–386
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Area functions Schrödinger operator weighted Hardy space.
Author Details
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https://doi.org/10.1007/s40840-022-01339-4 [Citations: 2]