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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 3, Pages 3–10 (Mi vmumm678)  
Mathematics

Possibility to strengthen the Lieb–Thirring inequality for systems of functions of special type

D. S. Barsegyan

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (249 kB)
Abstract: A strengthening of the Lieb–Thirring inequality for systems of functions of special type is proved by the standard Fourier technique.
Key words: Lieb–Thirring inequality, Rademacher's system, Littlewood–Paley's inequality, Fourier transform, orthonormal systems.
Received: 01.03.2010
English version:
Moscow University Mathematics Bulletin, 2011, Volume 66, Issue 3, Pages 93–100
DOI: https://doi.org/10.3103/S0027132211030016
Bibliographic databases:
Document Type: Article
UDC: 517.518.36
Language: Russian
Citation: D. S. Barsegyan, “Possibility to strengthen the Lieb–Thirring inequality for systems of functions of special type”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 3, 3–10; Moscow University Mathematics Bulletin, 66:3 (2011), 93–100
Citation in format AMSBIB
\Bibitem{Bar11}
\by D.~S.~Barsegyan
\paper Possibility to strengthen the Lieb--Thirring inequality for systems of functions of special type
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 3
\pages 3--10
\mathnet{http://mi.mathnet.ru/vmumm678}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918859}
\zmath{https://zbmath.org/?q=an:1304.42010}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2011
\vol 66
\issue 3
\pages 93--100
\crossref{https://doi.org/10.3103/S0027132211030016}
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