@Article{ATA-31-138,
author = {Hua Wang},
title = {Riesz Transforms Associated with Schrödinger Operators Acting on Weighted Hardy Spaces},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {31},
number = {2},
pages = {138--153},
abstract = {<p style="text-align: justify;">Let $L = −∆+V$ be a Schrödinger operator acting on $L^2(\mathbb{R}^n)$, $n ≥ 1$, where $V \not\equiv 0$ is a nonnegative locally integrable function on $\mathbb{R}^n$. In this article, we will introduce
weighted Hardy spaces $H^p_L(w)$ associated with $L$ by means of the square function
and then study their atomic decomposition theory. We will also show that the Riesz
transform $∇L^{−1/2}$ associated with $L$ is bounded from our new space $H^p_L&nbsp;(w)$ to the
classical weighted Hardy space $H^p(w)$ when $n/(n+1)&lt; p&lt;1$ and $w ∈ A_1∩RH_{(2/p)′}$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2015.v31.n2.4},
url = {http://global-sci.org/intro/article_detail/ata/4629.html}
}