Heisenberg群上的限制算子

SOME RESTRICTION OPERATORS ON THE HEISENBERG GROUP

本文在（２ｎ＋１）维Ｈｅｉｓｅｎｂｅｒｇ群上定义了一类限制算子，并在混合范数的ＬＰ空间中证明了其有界性．

We investigte the Fourier transform on (2n + 1) -dimensional Heisenberg group Hn and the eigenfunction expansions for the sublaplacian.Motivated by the ideas of Thangavelu and Stricharts,we introduce some restriction operators.By using the twisted convolutions,we obtain the boundedness of these operators in the mixed LP -spaces. Our results extend some theorems of Thangavelu.