Spectral inequalities for a class of integral operators

Ari Laptev; Andrei Velicu

Spectral inequalities for a class of integral operators

Analysis of PDEs 2019-06-21 v1

Authors: Ari Laptev , Andrei Velicu

Abstract

We obtain inequalities for the Riesz means for the discrete spectrum of a class of self-adjoint compact integral operators. Such bounds imply some inequalities for the counting function of the Dirichlet boundary problem for the Laplace operator. The paper is an extension of the results previously obtained in [5].

Keywords

spectral inequalities integral operators riesz means discrete spectrum counting function dirichlet problem laplace operator

Cite

@article{arxiv.1906.08604,
  title  = {Spectral inequalities for a class of integral operators},
  author = {Ari Laptev and Andrei Velicu},
  journal= {arXiv preprint arXiv:1906.08604},
  year   = {2019}
}

Comments

15 pages, 2 figures

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