Year: 2014
Type: preprint
Abstract: In this article, we get the spectral solution $\mathcal{P}_μ^{m}$ of operators $m(\mathcal{L}, -Δ_\mathfrak{z})$, the joint functional calculus of the sub-Laplacian and Laplacian on the centre of Métivier group. Then, we give some group-analogues of the Thomas-Stein-type restriction theorem, asserting the mix-norm boundness of the restriction operators $\mathcal{P}_μ^{m}$ for two classes of functions $m=(a^α+b^β)^γ$ and $m=(1+a^α+b^β)^γ$ with $α, β>0, γ\neq0$.
Source: arXiv (Cornell University)
Authors: Liu, Heping, Zhang, An
Institution: Peking University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2298777780