Let G be the free two step nilpotent Lie group on three generators and let L be a sub-Laplacian on it. We compute the spectral resolution of L and prove that the operators arising from this decomposition enjoy a Tomas-Stein type estimate.
Restriction estimates for the free two step nilpotent group on three generators
CIATTI, PAOLO;CASARINO, VALENTINA
2016
Abstract
Let G be the free two step nilpotent Lie group on three generators and let L be a sub-Laplacian on it. We compute the spectral resolution of L and prove that the operators arising from this decomposition enjoy a Tomas-Stein type estimate.
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