Classes of weights and second order Riesz transforms associated to Schrodinger operators

被引：13
|
作者：
Ly, Fu Ken [1 ]
机构：
[1] Sydney Inst Business & Technol, Sydney, NSW 2000, Australia
来源：
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2016年 / 68卷 / 02期
关键词：
weights; Schrodinger operators; good-lambda inequalities; Riesz transforms; heat kernels; reverse Holder; UNIFORMLY ELLIPTIC-OPERATORS; L-P SPACES; NORM INEQUALITIES; HEAT KERNEL; EXTRAPOLATION; COMMUTATORS; MANIFOLDS;
D O I：
10.2969/jmsj/06820489
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Schrodinger operator -Delta + V on R-n with n >= 3 and V a member of the reverse Holder class B-s for some s > n/2. We obtain the boundedness of the second order Riesz transform del(2) (-Delta + V)(-1) on the weighted spaces L-p(w) where w belongs to a class of weights related to V. To prove this, we develop a good-lambda inequality adapted to this setting along with some new heat kernel estimates.
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页码：489 / 533
页数：45
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