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Matematicheskie Zametki, 2007, Volume 82, Issue 4, Pages 504–514
DOI: https://doi.org/10.4213/mzm4018 (Mi mzm4018) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Inequalities of Lieb–Thirring Type

D. S. Barsegyan

Yerevan State University
Full-text PDF (442 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm4018
Abstract: Applying the method proposed by Kashin for proving inequalities of Lieb–Thirring type for orthonormal systems, we prove a similar inequality in the multidimensional case.
Keywords: Lieb–Thirring inequalities, orthogonal series, orthonormal system of functions, normalized Lebesgue measure, Rademacher system.
Received: 29.01.2007
Revised: 30.05.2007
English version:
Mathematical Notes, 2007, Volume 82, Issue 4, Pages 451–460
DOI: https://doi.org/10.1134/S0001434607090192
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: D. S. Barsegyan, “On Inequalities of Lieb–Thirring Type”, Mat. Zametki, 82:4 (2007), 504–514; Math. Notes, 82:4 (2007), 451–460
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm4018
  • https://doi.org/10.4213/mzm4018
  • https://www.mathnet.ru/eng/mzm/v82/i4/p504
    • This publication is cited in the following 2 articles:
    1. Barsegyan D.S., “O vozmozhnosti usileniya neravenstva Liba–Tirringa dlya sistem funktsii spetsialnogo vida”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 2011, no. 3, 3–10  mathnet  mathscinet  zmath  elib
    2. D. S. Barsegyan, “On the Possibility of Strengthening the Lieb–Thirring Inequality”, Math. Notes, 86:6 (2009), 753–766  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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