Carleson measures and Logvinenko–Sereda sets on compact manifolds

Joaquim Ortega-Cerdà 1  and Bharti Pridhnani 2
  • 1 Dept. Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain
  • 2 Dept. Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain

Abstract.

Given a compact Riemannian manifold M of dimension , we study the space of functions of generated by eigenfunctions of eigenvalues less than associated to the Laplace–Beltrami operator on M. On these spaces we give a characterization of the Carleson measures and the Logvinenko–Sereda sets.

Purchase article
Get instant unlimited access to the article.
$42.00
Log in
Already have access? Please log in.


or
Log in with your institution

Journal + Issues

Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.

Search