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

doi:10.1016/S0252-9602(08)60090-9

数学物理学报(英文版)

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

栾静闻; 朱赋鎏

武汉大学数学与统计学院, 武汉 430072

收稿日期:2005-12-30 修回日期:1900-01-01 出版日期:2008-10-20 发布日期:2008-10-20
通讯作者: 栾静闻
基金资助:
Supported by the National Nature Science Foundation of China (10261002)

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

Luan Jingwen; Zhu Fuliu

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

摘要/Abstract

摘要：

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.

关键词: Cayley Heisenberg group, heat kernel, Riesz transform

Abstract:

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

中图分类号:

22E30

栾静闻; 朱赋鎏. THE UNIFORMLY BOUNDEDNESS OF THE RIESZ TRANSFORMS ON THE CAYLEY HEISENBERG GROUPS[J]. 数学物理学报(英文版), 2008, 28(4): 895-914.

Luan Jingwen; Zhu Fuliu. THE UNIFORMLY BOUNDEDNESS OF THE RIESZ TRANSFORMS ON THE CAYLEY HEISENBERG GROUPS[J]. Acta mathematica scientia,Series B, 2008, 28(4): 895-914.

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

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

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