Interior estimates in Morrey spaces for solutions of elliptic equations and weighted boundedness for commutators of singular integral operators

被引：48
|
作者：
Liu, LZ [1 ]
机构：
[1] Changsha Univ Sci & Technol, Coll Math & Comp, Changsha 410077, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2005年 / 25卷 / 01期
关键词：
nondivergence elliptic equation; generalized Morrey space; commutator of singular integral operator; A(p) weight;
D O I：
10.1016/S0252-9602(17)30264-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that, for the nondivergence elliptic equations Sigma(i,j=1)(n) a(ij)u(xixj) = f, if f belongs to the generalized Morrey spaces L-p,(phi)(omega), then u(xixj) is an element of L-p,L-phi(omega), where u is the W-2,W-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 L-p,L-phi(omega).
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页码：89 / 94
页数：6
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