Email this article Spectral Inequalities for a Class of Integral Operators
- Authors: Laptev A.1, Velicu A.1
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Affiliations:
- Imperial College London
- Issue: Vol 242, No 2 (2019)
- Pages: 214-226
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242968
- DOI: https://doi.org/10.1007/s10958-019-04475-8
- ID: 242968
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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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