A functional calculus and restriction theorem on H-type groups
Functional Analysis
2017-01-25 v1
Abstract
Let be the sublaplacian and the partial Laplacian with respect to central variables on H-type groups. We investigate a class of invariant differential operators by the joint functional calculus of and . We establish Stein-Tomas type restriction theorems for these operators. In particular, the asymptotic behaviors of restriction estimates are given.
Cite
@article{arxiv.1402.4340,
title = {A functional calculus and restriction theorem on H-type groups},
author = {Heping Liu and Manli Song},
journal= {arXiv preprint arXiv:1402.4340},
year = {2017}
}