Isomorphisms and several characterizations of Musielak-Orlicz-Hardy spaces associated with some Schrodinger operators

Czechoslovak Mathematical Journal

Sibei ¹ 

[1] School of Mathematics and Statistics, Lanzhou University, South Tianshui Road No. 222, Lanzhou, Gansu 730000, People's Republic of China

关键词: Musielak-Orlicz-Hardy space;    Schrodinger operator;    $L$-harmonic function;    isomorphism of Hardy space;    atom;    molecule;   

DOI  :  

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

Let $L:=-\Delta+V$ be a Schrodinger operator on $\mathbb{R}^n$ with $n\ge3$ and $V\ge0$ satisfying $\Delta^{-1} V\in L^\infty(\mathbb{R}^n)$. Assume that $\varphi\mathbb{R}^n\times[0,\infty)\to[0,\infty)$ is a function such that $\varphi(x,\cdot)$ is an Orlicz function, $\varphi(\cdot,t)\in{\mathbb A}_{\infty}(\mathbb{R}^n)$ (the class of uniformly Muckenhoupt weights). Let $w$ be an $L$-harmonic function on $\mathbb{R}^n$ with $0

【 授权许可】

Unknown