A Berezin-Li-Yau type inequality for the fractional Laplacian on a bounded domain

Mathematics – Spectral Theory

Scientific paper

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Scientific paper

An improvement to a Berezin-Li-Yau type inequality for
$(-\Delta)^{\alpha/2}|_{\Omega},$ the fractional Laplacian operators restriced
to a bounded domain $\Omega\subset \mathbb{R}^d$ for $\alpha\in(0,2],$ $d\ge
2,$ is proved.

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