Abstract
We prove sharp two-parameter estimates for the L p-L 2 norm, 1 ≤ p ≤ 2, of the joint spectral projectors associated to the Laplace–Beltrami operator and to the Kohn Laplacian on the unit sphere S 2n-1 in \({\mathbb{C}}^n\) . Then, by using the notion of contraction of Lie groups, we deduce the estimates recently obtained by H. Koch and F. Ricci for joint spectral projections on the reduced Heisenberg group h 1.
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Casarino, V. Two-parameter estimates for joint spectral projections on complex spheres. Math. Z. 261, 245–259 (2009). https://doi.org/10.1007/s00209-008-0323-8
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DOI: https://doi.org/10.1007/s00209-008-0323-8