A RESTRICTION THEOREM FOR THE H-TYPE GROUPS

作者：Liu, Heping^*; Wang, Yingzhan

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139(8): 2713-2720.

DOI：10.1090/S0002-9939-2011-10907-9

• H-type group
• restriction operator
• special Hermite expansion

We prove that the restriction operator for the H-type groups is bounded from L-p to L-p' for p near to 1 when the dimension of the center is larger than one, and the range of p depends on the dimension of the center. This is different from the Heisenberg group, on which the restriction operator is not bounded from L-p to L-p' unless p = 1.

• 出版日期2011-8
• 单位北京大学; 广州大学