Acta mathematica scientia, Series B >
THE UNIFORMLY BOUNDEDNESS OF THE RIESZ TRANSFORMS ON THE CAYLEY HEISENBERG GROUPS
Received date: 2005-12-30
Revised date: 1900-01-01
Online published: 2008-10-20
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
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 . DOI: 10.1016/S0252-9602(08)60090-9
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