Abstract
The authors get on Métivier groups the spectral resolution of a class of operators 
, 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 \(\mathcal{P}_\mu^m\) for two classes of functions m(a, b) = (aα + bβ)γ or (1 + aα + bβ)γ, with α, β > 0, γ ≠ 0.
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The authors thank sincerely the anonymous referees for careful reading of the manuscript.
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This work was supported by the National Natural Science Foundation of China (No. 11371036) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 2012000110059).
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Liu, H., Zhang, A. Restriction Theorems on Métiver Groups Associated to Joint Functional Calculus. Chin. Ann. Math. Ser. B 39, 1017–1032 (2018). https://doi.org/10.1007/s11401-018-0111-7
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DOI: https://doi.org/10.1007/s11401-018-0111-7