%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 }