Spectral Inequalities for a Class of Integral Operators


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Abstract

We prove inequalities for the Riesz means for the discrete spectra of selfadjoint compact integral operators in some class. Such bounds imply inequalities for the counting function of the Dirichlet boundary problem for the Laplace operator.

About the authors

A. Laptev

Imperial College London

Author for correspondence.
Email: a.laptev@imperial.ac.uk
United Kingdom, 180 Queen’s Gate, London, SW7 2AZ

A. Velicu

Imperial College London

Email: a.laptev@imperial.ac.uk
United Kingdom, 180 Queen’s Gate, London, SW7 2AZ

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