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THE UNIFORMLY BOUNDEDNESS OF THE RIESZ TRANSFORMS ON THE CAYLEY HEISENBERG GROUPS 被引量:2

THE UNIFORMLY BOUNDEDNESS OF THE RIESZ TRANSFORMS ON THE CAYLEY HEISENBERG GROUPS
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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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 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)
关键词 Cayley Heisenberg group heat kernel Riesz transform Cayley Heisenberg group, heat kernel, Riesz transform
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