We prove some sharp L^p-L^2 estimates for joint spectral projections, for p between 1 and 2, associated to the Laplace--Beltrami operator and to a suitably defined subLaplacian on the unit quaternionic sphere.
L^p joint eigenfunction bounds on quaternionic spheres
CASARINO, VALENTINA;CIATTI, PAOLO
2017
Abstract
We prove some sharp L^p-L^2 estimates for joint spectral projections, for p between 1 and 2, associated to the Laplace--Beltrami operator and to a suitably defined subLaplacian on the unit quaternionic sphere.
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