We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side. It is also shown that the asymptotical behaviour of the correction term is almost optimal. This improves a previous result by Melas, (11).
%0 Journal Article
%1 MR2486669
%A Kovar\'ık, Hynek
%A Vugalter, Semjon
%A Weidl, Timo
%D 2009
%J Comm. Math. Phys.
%K Berezin-Li-Yau IADM Two-dimensional Weidl a correction from:elkepeter inequalities term with
%N 3
%P 959--981
%R 10.1007/s00220-008-0692-1
%T Two-dimensional Berezin-Li-Yau inequalities with a correction term
%U https://doi.org/10.1007/s00220-008-0692-1
%V 287
%X We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side. It is also shown that the asymptotical behaviour of the correction term is almost optimal. This improves a previous result by Melas, (11).
@article{MR2486669,
abstract = {We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side. It is also shown that the asymptotical behaviour of the correction term is almost optimal. This improves a previous result by Melas, (11).},
added-at = {2022-03-30T16:35:44.000+0200},
author = {Kova\v{r}\'{\i}k, Hynek and Vugalter, Semjon and Weidl, Timo},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/245af3f896c9f76e98049e3c3aa685a43/mathematik},
doi = {10.1007/s00220-008-0692-1},
interhash = {331d4945b3b369e1684b250466bb61af},
intrahash = {45af3f896c9f76e98049e3c3aa685a43},
issn = {0010-3616},
journal = {Comm. Math. Phys.},
keywords = {Berezin-Li-Yau IADM Two-dimensional Weidl a correction from:elkepeter inequalities term with},
mrclass = {58J50 (35J05 35P15)},
mrnumber = {2486669},
mrreviewer = {G\"{u}nter Berger},
number = 3,
pages = {959--981},
timestamp = {2023-04-21T12:03:51.000+0200},
title = {Two-dimensional {B}erezin-{L}i-{Y}au inequalities with a correction term},
url = {https://doi.org/10.1007/s00220-008-0692-1},
volume = 287,
year = 2009
}
