Weighted Herz Spaces and Regularity Results

被引：1
|
作者：
Guo, Yuxing [1 ]
Jiang, Yinsheng [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Xinjiang 830046, Urumqi, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年
关键词：
BOUNDEDNESS; EQUATIONS; OPERATORS;
D O I：
10.1155/2012/283730
中图分类号：
学科分类号：
摘要：
It is proved that, for the nondivergence form elliptic equations Sigma(n)(i,j-1) a(ij)u(xixj) = f, if f belongs to the weighted Herz spaces K-q(p)(phi, w), then u(xixj) is an element of K-q(p)(phi, w), where u is the W-2,W-p-solution of the equations. In order to obtain this, the authors first establish the weighted boundedness for the commutators of some singular integral operators on K-p(q)(phi, w).
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页数：13
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