INTERIOR ESTIMATES IN MORREY SPACES FOR SOLUTIONS OF ELLIPTIC EQUATIONS AND WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

被引：0
|
作者：
刘岚喆
机构：
[1] College of Mathematics and Computer Changsha University of Science and Technology Changsha 410077
[2] China
来源：
Acta Mathematica Scientia | 2005年 / 01期
关键词：
Nondivergence elliptic equation; generalized Morrey space; commutator of singular integral operator; Ap weight;
D O I：
暂无
中图分类号：
O175.25 [椭圆型方程];
学科分类号：
070104 ;
摘要：
It is proved that, for the nondivergence elliptic equations Σi,jn=1aijuxixj=f, if f belongs to the generalized Morrey spaces Lp, (w), then uxixj ∈ Lp, (w), where u is the W2,p-solution of the equations. In order to obtain this, the author first establish the weighted boundedness for the commutators of some singular integral operators on Lp, (w).
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页码：89 / 94
页数：6
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