Two-Dimensional Berezin-Li-Yau Inequalities with a Correction Term
- First Online:
- Cite this article as:
- Kovařík, H., Vugalter, S. & Weidl, T. Commun. Math. Phys. (2009) 287: 959. doi:10.1007/s00220-008-0692-1
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, .