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

作　　者：栾静闻 朱赋鎏 

机构地区：[1]School of Mathematics and Statistics,Wuhan University

出　　处：《Acta Mathematica Scientia》2008年第4期895-914,共20页数学物理学报（B辑英文版）

基　　金：the National Nature Science Foundation of China(10261002)

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.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 

分 类 号：O152.5[理学—数学]