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A restriction theorem for the quaternion Heisenberg group
Liu Heping 1 *,Wang Yingzhan 2
1.School of Mathematical Sciences, Peking University
2.School of Mathematics and Information Sciences, Guangzhou University
*Correspondence author
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Funding: 博士点基金(No.2007001040), 国家自然科学基金(No.10871003,10990012)
Opened online:18 February 2011
Accepted by: none
Citation: Liu Heping,Wang Yingzhan.A restriction theorem for the quaternion Heisenberg group[OL]. [18 February 2011] http://en.paper.edu.cn/en_releasepaper/content/4409526
 
 
We prove that the restriction operator for the sublaplacian on the quaternion Heisenberg group is bounded from Lp to Lp' if 1<=p=<3/4 . This is different from the Heisenberg group, on which the restriction operator is not bounded from Lp to Lp' unless p=1.
Keywords:Quaternion Heisenberg group;Restriction operator;Special Hermite expansion
 
 
 

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