Boundedness of Area Functions Related to Schrödinger Operators and Their Commutators in Weighted Hardy Spaces

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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 $WL^1(w).$

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DOI

10.4208/ata.2021.lu80.06

How to Cite

Boundedness of Area Functions Related to Schrödinger Operators and Their Commutators in Weighted Hardy Spaces. (2022). Analysis in Theory and Applications, 37(3), 362-386. https://doi.org/10.4208/ata.2021.lu80.06