On a Class of Inequalities for Orthonormal Systems
Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 204-208

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In this paper, a novel approach to the proof of inequalities of Lieb–Thirring type based on the standard apparatus of the theory of orthogonal series is proposed.
Keywords: inequality of Lieb–Thirring type, orthonormal system, orthogonal series, classical Littlewood–Paley theorem, Cauchy's inequality.
@article{MZM_2006_80_2_a5,
     author = {B. S. Kashin},
     title = {On a {Class} of {Inequalities} for {Orthonormal} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a5/}
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B. S. Kashin. On a Class of Inequalities for Orthonormal Systems. Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 204-208. http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a5/