A Restriction Theorem for Métivier Groups

Abstract

In the spirit of an earlier result of Müller on the Heisenberg group we prove a restriction theorem on a certain class of two step nilpotent Lie groups. Our result extends that of Müller also in the framework of the Heisenberg group.

Results are true in the setting of H-type groups. In the general case there is a gap. We are trying to fix it

Cited by in corpus (6)

• Almost everywhere convergence of Bochner-Riesz means on Heisenberg-type groups
• A functional calculus and restriction theorem on H-type groups
• The restriction theorem for the Grushin operators
• Sub-Riemannian geometry on some step-two Carnot groups
• Injectivity of spherical mean on Métivier Group
• An $L^p$-spectral multiplier theorem with sharp $p$-specific regularity bound on Heisenberg type groups