The authors get on Metivier groups the spectral resolution of a class of operators m（L, -Δ）, the joint functional calculus of the sub-Laplacian and Laplacian on the centre, and then give some restriction theorems t...The authors get on Metivier groups the spectral resolution of a class of operators m（L, -Δ）, the joint functional calculus of the sub-Laplacian and Laplacian on the centre, and then give some restriction theorems together with their asymptotic estimates, asserting the mix-norm boundedness of the spectral projection operators Pμ^m for two classes of functions re（a, b） =（a^α＋b^β）^γ or （1＋a^α＋b^β）^γ,with α,β〉0,γ≠0.展开更多
基金supported by the National Natural Science Foundation of China(No.11371036)the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.2012000110059)
文摘The authors get on Metivier groups the spectral resolution of a class of operators m（L, -Δ）, the joint functional calculus of the sub-Laplacian and Laplacian on the centre, and then give some restriction theorems together with their asymptotic estimates, asserting the mix-norm boundedness of the spectral projection operators Pμ^m for two classes of functions re（a, b） =（a^α＋b^β）^γ or （1＋a^α＋b^β）^γ,with α,β〉0,γ≠0.
