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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2008 Volume 83, Issue 2, Pages 163–169 (Mi mzm4415)
This article is cited in 4 papers

Lieb–Thirring Inequality for $L_p$ Norms

S. V. Astashkin

Samara State University

Abstract: 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, $L_p$-norm, orthonormal system, orthogonal series, Marcinkiewicz theorem, Fourier multiplier, Rademacher function.

UDC: 517.5

Received: 31.05.2007
Revised: 28.08.2007

DOI: 10.4213/mzm4415


 English version: Mathematical Notes, 2008, 83:2, 145–151

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© Steklov Math. Inst. of RAS, 2026