Two-parameter estimates for joint spectral projections on complex spheres |
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Authors: | Valentina Casarino |
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Institution: | (1) Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy |
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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 . 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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Keywords: | Joint spectral projectors Complex spheres L p eigenfunction bounds Heisenberg group Contraction |
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