Geodesic
Lieb--Thirring Inequality for $L_p$ Norms
Matematičeskie zametki, Tome 83 (2008) no. 2, pp. 163-169

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In this paper, we obtain the Lieb–Thirring inequality for $L_p$-norms. The proof uses only the standard apparatus of the theory of orthogonal series.
Keywords: Lieb–Thirring inequality, orthonormal system, orthogonal series, Marcinkiewicz theorem, Rademacher function.
Mots-clés : $L_p$-norm, Fourier multiplier 
@article{MZM_2008_83_2_a0,
     author = {S. V. Astashkin},
     title = {Lieb--Thirring {Inequality} for $L_p$ {Norms}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {163--169},
     publisher = {mathdoc},
     volume = {83},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_2_a0/}
}
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S. V. Astashkin. Lieb--Thirring Inequality for $L_p$ Norms. Matematičeskie zametki, Tome 83 (2008) no. 2, pp. 163-169. http://geodesic.mathdoc.fr/item/MZM_2008_83_2_a0/