Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1592-1600.

• Articles • Previous Articles     Next Articles

Improved Hardy Inequality on the Heisenberg Group

 JIN Yong-Yang, HAN Ya-Zhou   

  1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310032; Department of Mathematics, College of Science, China Jiliang University, Hangzhou 310018
  • Received:2009-10-25 Revised:2010-11-13 Online:2011-12-25 Published:2011-12-25
  • Supported by:

    浙江省自然科学基金(Y6090359, Y6090383, Y6110118)和浙江省教育厅重点项目(Z200803357)资助

Abstract:

In this paper the authors prove some weighted Hardy  inequalities with remainder term on the Heisenberg group, following the ideas of
Abdellaoui-Colorado-Peral in [1].

Key words: Improved Hardy inequality, Heisenberg group, p-sub-Laplacian

CLC Number: 

  • 26D15
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