@Article{ATA-31-184,
author = {Q. Deng, Y. Ding and X. Yao},
title = {Hardy Spaces $H^p_L(\mathbb{R}^n)$ Associated with Higher-Order Schrödinger Type Operators},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {31},
number = {2},
pages = {184--206},
abstract = {<p style="text-align: justify;">Let $L = L_0+V$ be the higher order Schrödinger type operator where $L_0$ is a
homogeneous elliptic operator of order $2m$ in divergence form with bounded coefficients
and $V$ is a real measurable function as multiplication operator (e.g., including $(−∆) ^m+V (m∈\mathbb{N})$ as special examples). In this paper, assume that $V$ satisfies a strongly
subcritical form condition associated with $L_0$, the authors attempt to establish a theory
of Hardy space $H^p_L(\mathbb{R}^n) (0 &lt; p ≤ 1)$ associated with the higher order Schrödinger
type operator $L$. Specifically, we first define the molecular Hardy space $H^p_L(\mathbb{R}^n)$ by the
so-called $(p,q,ε,M)$ molecule associated to $L$ and then establish its characterizations by
the area integral defined by the heat semigroup $e^{−tL}$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2015.v31.n2.8},
url = {http://global-sci.org/intro/article_detail/ata/4633.html}
}