Hardy spaces associated with magnetic Schr?dinger operators on strongly Lipschitz domains

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• 作者：Dachun Yang ; Dongyong Yang
• 关键词：42B30 ; 42B20 ; 42B25
• 刊名：Nonlinear Analysis
• 出版年：2012
• 出版时间：December, 2012
• 年：2012
• 卷：75
• 期：18
• 页码：6433-6447
• 全文大小：318 K

文摘

Let , be a strongly Lipschitz domain in and a magnetic Schr?dinger operator on satisfying the Dirichlet boundary condition, where and . In this paper, the authors introduce the Hardy space by the Lusin area function associated with and establish its equivalent characterization via the non-tangential maximal function associated with . As applications, the authors obtain the boundedness of the Riesz transforms , , from to for and the fractional integral from to for and , where is the closure of in .