Two dimensional Berezin-Li-Yau inequalities with a correction term

Mathematics – Spectral Theory

Scientific paper

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Scientific paper

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.

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