An improvement to a Berezin-Li-Yau type inequality
- Autores: Selma Yildirim Yolcu
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 4059-4066
- Idioma: inglés
- DOI: 10.1090/s0002-9939-2010-10419-7
- Enlaces
-
Resumen
In this article we improve a lower bound for (a Berezin-Li-Yau type inequality) that appeared in an earlier paper of Harrell and Yolcu. Here denotes the th eigenvalue of the Klein Gordon Hamiltonian when restricted to a bounded set . can also be described as the generator of the Cauchy stochastic process with a killing condition on . To do this, we adapt the proof of Melas, who improved the estimate for the bound of , where denotes the th eigenvalue of the Dirichlet Laplacian on a bounded domain in
¿Es nuevo? Regístrese
Ventajas de registrarse
