Grand Lebesgue Spaces norm estimates for eigen functions for Laplace-Beltrami operator defined on the closed compact smooth Riemannian manifolds

2021/10/05 by Formica, M. R., Ostrovsky, E., Sirota, L.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2110.02006

Abstract

We derive a sharp Grand Lebesgue Space norm estimations for normalized eigen functions for the Laplace-Beltrami operator defined on the compact smooth Riemann manifold. These estimates allow us to deduce in particular the exponential decreasing tail of distribution for these eigen functions.

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