摘要
研究非凸区域上的Hardy型不等式.通过选取特殊的向量值函数以及仔细的分析与计算,得到了各向异性Heisenberg群上一类非凸区域上的Hardy不等式,更进一步得到了非凸区域上与Greiner型向量场相关的几类Hardy型不等式.
A class of Hardy inequalities for nonconvex domain on anisotropic Heisenberg group was obtained by constructing special vector-valued auxiliary functions and careful calculation. Moreover, several Hardy-type inequalities associated with Greiner type vector field on nonconvex domains are also proved in this paper.
作者
郑前前
马雅丽
沈晓敏
金永阳
ZHENG Qian-qian;MA Ya-li;SHEN Xiao-min;JIN Yong-yang(Department of Applied Mathematics,Zhejiang University of Technology,Hangzhou 310023 China)
出处
《高校应用数学学报（A辑）》
北大核心
2019年第4期451-460,共10页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(11771395
11571306)
