数学物理学报 ›› 2016, Vol. 36 ›› Issue (3): 456-461.

• 论文 • 上一篇    下一篇

幂零李群上半空间内的加权Poincaré不等式

连保胜, 沈小羽, 徐岩冰   

  1. 武汉科技大学理学院数学统计系 武汉 430065
  • 收稿日期:2015-11-04 修回日期:2016-03-15 出版日期:2016-06-26 发布日期:2016-06-26
  • 作者简介:连保胜,lianbs@163.com;徐岩冰,xuyanbing22@163.com
  • 基金资助:

    湖北省教育厅重点项目(D20131108)资助

The Weighted Poincaré Inequality in the Upper Half Space of Nilpotent Lie Group

Lian Baosheng, Shen Xiaoyu, Xu Yanbing   

  1. Department of Mathematics Statistics, College of Science, Wuhan University of Science and Technology, Wuhan 430065
  • Received:2015-11-04 Revised:2016-03-15 Online:2016-06-26 Published:2016-06-26
  • Supported by:

    Educational Commission of Hubei Province (D20131108)

摘要:

该文在幂零李群上半空间内建立了一类加权的Poincaré不等式. 并且证明了所得的常数是最佳的.

关键词: Poincaré, 不等式, 最佳常数, 幂零李群

Abstract:

In this paper, a class of weighted Poincaré inequality is established in the upper half space of Nilpotent Lie group, and it is proved that the constant is the best.

Key words: Poincaré, inequality, Best constant, Nilpotent Lie group

中图分类号: 

  • O154.2