Sobolev Norms of Eigenfunctions on a Closed Riemannian Manifold Sobolev Norms of Eigenfunctions on a Closed Riemannian Manifold
نویسنده
چکیده
Let χλ (cf (1.1)) be the unit spectral projection operator with respect to the Laplace-Beltrami operator ∆ on a closed Riemannian manifold M . We generalize the (L2, L∞) estimate of χλ by Hörmander [3] to those of covariant derivatives of χλ Moreover we extend the (L2, Lp) estimates of χλ by Sogge [7] [8] to (L2, Sobolev Lp) estimates of χλ.
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