Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (3): 456-461.

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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)

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

CLC Number: 

  • O154.2
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