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Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian

Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian

For s > 0, let H 0 = (-∆) s be the fractional Laplacian.In this paper, we obtain Lieb-Thirring type inequalities for the fractional Schrödinger operator defined aspotential.Our methods are based on the results of articles by Borichev-Golinskii-Kupin [BGK09] and Hansmann [Han11].