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Matematicheskie Zametki, 2008, Volume 83, Issue 2, Pages 163–169
DOI: https://doi.org/10.4213/mzm4415 (Mi mzm4415) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Lieb–Thirring Inequality for $L_p$ Norms

S. V. Astashkin

Samara State University
Full-text PDF (435 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm4415
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.
Received: 31.05.2007
Revised: 28.08.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 2, Pages 145–151
DOI: https://doi.org/10.1134/S0001434608010173
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. V. Astashkin, “Lieb–Thirring Inequality for $L_p$ Norms”, Mat. Zametki, 83:2 (2008), 163–169; Math. Notes, 83:2 (2008), 145–151
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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