A restriction theorem for the quaternion Heisenberg group  

作　　者：LIU He-ping WANG Ying-zhan 

机构地区：[1]School of Mathematical Sciences, Peking University, Beijing 100871, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2011年第1期86-92,共7页高校应用数学学报（英文版）（B辑）

基　　金：Supported by National Natural Science Foundation of China (10871003, 10990012);the Specialized Research Fund for the Doctoral Program of Higher Education of China (2007001040)

摘　　要：We prove that the restriction operator for the sublaplacian on the quaternion Heisenberg group is bounded from L^p to L^p＇ if 1 ≤ p ≤4/3. This is different from the Heisenberg group, on which the restriction operator is not bounded from Lp to Lp＇ unless p = 1.We prove that the restriction operator for the sublaplacian on the quaternion Heisenberg group is bounded from L^p to L^p＇ if 1 ≤ p ≤4/3. This is different from the Heisenberg group, on which the restriction operator is not bounded from Lp to Lp＇ unless p = 1.

关 键 词：Quaternion Heisenberg group restriction operator special Hermite expansion. 

分 类 号：O175.3[理学—数学] O174.22[理学—基础数学]