Geodesic
On Inequalities of Lieb--Thirring Type
Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 504-514

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Applying the method proposed by Kashin for proving inequalities of Lieb–Thirring type for orthonormal systems, we prove a similar inequality in the multidimensional case.
Keywords: Lieb–Thirring inequalities, orthogonal series, orthonormal system of functions, normalized Lebesgue measure, Rademacher system. 
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     author = {D. S. Barsegyan},
     title = {On {Inequalities} of {Lieb--Thirring} {Type}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {504--514},
     publisher = {mathdoc},
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     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a3/}
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D. S. Barsegyan. On Inequalities of Lieb--Thirring Type. Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 504-514. http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a3/