Acta mathematica scientia,Series B

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THE UNIFORMLY BOUNDEDNESS OF THE RIESZ TRANSFORMS ON THE CAYLEY HEISENBERG GROUPS

Luan Jingwen; Zhu Fuliu   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2005-12-30 Revised:1900-01-01 Online:2008-10-20 Published:2008-10-20
  • Contact: Luan Jingwen

Abstract:

In this article, the authors estimate some functions by using the explicit expression of the heat kernels for the Cayley Heisenberg groups, and then prove the uniform boundedness of the Riesz transforms on these nilpotent Lie groups.

Key words: Cayley Heisenberg group, heat kernel, Riesz transform

CLC Number: 

  • 22E30
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