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).

引用

页数：13

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