Improved Berezin-Li-Yau inequalities with a remainder term

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dc.creatorWeidl, Timo
dc.date2007-11-30
dc.date.accessioned2026-07-07T08:46:26Z
dc.date.available2026-07-07T08:46:26Z
dc.descriptionWe give an improvement of sharp Berezin type bounds on the Riesz means $\sum_k(Λ-λ_k)_+^σ$ of the eigenvalues $λ_k$ of the Dirichlet Laplacian in a domain if $σ\geq 3/2$. It contains a correction term of the order of the standard second term in the Weyl asymptotics. The result is based on an application of sharp Lieb-Thirring inequalities with operator valued potential to spectral estimates of the Dirichlet Laplacian in domains.
dc.descriptionDedicated to M. Sh. Birman on the occasion of his 80th birthday
dc.identifierhttps://arxiv.org/abs/0711.4925
dc.identifierhttp://arxiv.org/abs/0711.4925
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143246
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject35P15
dc.titleImproved Berezin-Li-Yau inequalities with a remainder term
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