Geodesic
Note on Lieb–Thirring type inequalities for a complex perturbation of fractional Laplacian
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2015) no. 3, pp. 245-266
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For $s>0$, let $H_0=(-\Delta)^s$ be the fractional Laplacian. In this paper, we obtain Lieb–Thirring type inequalities for the fractional Schrödinger operator defined as $H=H_0+V$, where $V\in L^p(\mathbb{R}^d), p\ge 1, d\ge 1,$ is a complex-valued potential. Our methods are based on the results of articles by Borichev–Golinskii–Kupin [BGK09] and Hansmann [Han11]. 
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C. Dubuisson. Note on Lieb–Thirring type inequalities for a complex perturbation of fractional Laplacian. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2015) no. 3, pp. 245-266. http://geodesic.mathdoc.fr/item/JMAG_2015_11_3_a2/

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