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 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).
Two-parameter estimates for joint spectral projections on complex spheres
CASARINO, VALENTINA
2009
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 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).File in questo prodotto:
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