On Hardy spaces associated with certain Schrodinger operators in dimension 2

被引：8
作者：
Dziubanski, Jacek [1 ]
Zienkiewicz, Jacek [1 ]
机构：
[1] Uniwersytet Wroclawski, Inst Matemat, PL-50384 Wroclaw, Poland
来源：
REVISTA MATEMATICA IBEROAMERICANA | 2012年 / 28卷 / 04期
关键词：
Hardy spaces; maximal functions; Schrodinger operator; H-1;
D O I：
10.4171/RMI/702
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Hardy space H-1 associated with the Schrodinger operator L = -Delta + V on R-2, where V >= 0 is a compactly supported non-zero C-2-potential. We prove that this space, which is originally defined by means of the maximal function associated with the semigroup generated by -L, admits a special atomic decomposition with atoms satisfying a weighted cancellation condition with a weight of logarithmic growth.
引用
收藏
页码：1035 / 1060
页数：26
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