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

Published 22 Sep 2010 in math.SP and math.FA | (1009.4270v3)

Abstract: 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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