Fundamental Solution for Weighted Baouendi-Grushin Type Operators and a Class of Weighted

Fundamental Solution for Weighted Baouendi-Grushin Type Operators and a Class of Weighted

Hardy Inequality

DI Yan-mei;JIN Yong-yang;SHEN Shou-feng;JIANG Li-ya

【期刊名称】《数学季刊（英文版）》 【年(卷),期】2012(027)002

【摘要】In this paper we obtain the fundamental solution for a class of weighted BaouendiGrushin type operator Lp,γ,αu =▽γ · (|▽γu|p-2pα▽γu) on Rm+n with singularity at the origin,where ▽γ is the gradient operator defined by ▽γ =(▽x,|x|γ▽y) and p is the distance function.As an application,we get some Hardy type inequalities associated with ▽γ. 【总页数】6页(274-279) 【关键词】

【作者】DI Yan-mei;JIN Yong-yang;SHEN Shou-feng;JIANG Li-ya

【作者单位】Department of Applied Mathematics, Zhejiang University of Technology,

Hangzhou

310032,

China;Department

of

Applied

Mathematics, Zhejiang University of Technology, Hangzhou 310032, China;Department of Applied Mathematics, Zhejiang University of Technology,

Hangzhou

310032,

China;Department

of

Applied

Mathematics, Zhejiang University of Technology, Hangzhou 310032, China

【正文语种】中文

【中图分类】O178 【相关文献】

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