Acta mathematica scientia,Series B
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Luan Jingwen; Zhu Fuliu
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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
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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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URL: http://121.43.60.238/sxwlxbB/EN/10.1016/S0252-9602(08)60090-9
http://121.43.60.238/sxwlxbB/EN/Y2008/V28/I4/895
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