Carleson Measures and Logvinenko-Sereda sets on compact manifolds

Details Carleson Measures and Logvinenko-Sereda sets on compact manifolds Carleson Measures and Logvinenko-Sereda sets on compact manifolds

2010-04-14

arxiv.org/abs/1004.2456v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Given a compact Riemannian manifold $M$ of dimension $m\geq 2$, we study the
space of functions of $L^2(M)$ generated by eigenfunctions of eigenvalues less
than $L\geq 1$ associated to the Laplace-Beltrami operator on $M$. On these
spaces we give a characterization of the Carleson measures and the
Logvinenko-Sereda sets.

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