Lieb-Thirring inequality for Lp norms

被引：0
|
作者：
S. V. Astashkin
机构：
[1] Samara State University,
来源：
Mathematical Notes | 2008年 / 83卷
关键词：
Lieb-Thirring inequality; L; -norm; orthonormal system; orthogonal series; Marcinkiewicz theorem; Fourier multiplier; Rademacher function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we obtain the Lieb-Thirring inequality for Lp-norms. The proof uses only the standard apparatus of the theory of orthogonal series.
引用
收藏
页码：145 / 151
页数：6
相关论文
共 50 条
  • [1] Lieb-Thirring inequality for Lp norms
    Astashkin, S. V.
    [J]. MATHEMATICAL NOTES, 2008, 83 (1-2) : 145 - 151
  • [2] The Lieb-Thirring inequality revisited
    Frank, Rupert L.
    Hundertmark, Dirk
    Jex, Michal
    Phan Thanh Nam
    [J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2021, 23 (08) : 2583 - 2600
  • [3] A Lieb-Thirring inequality for singular values
    Audenaert, Koenraad M. R.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (11-12) : 3053 - 3057
  • [4] On the possibility of strengthening the Lieb-Thirring inequality
    Barsegyan, D. S.
    [J]. MATHEMATICAL NOTES, 2009, 86 (5-6) : 753 - 766
  • [5] A Lieb-Thirring inequality for extended anyons
    Girardot, Theotime
    Rougerie, Nicolas
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 2023, 113 (01)
  • [6] Lieb-Thirring type inequality for resonances
    Korotyaev, Evgeny
    [J]. BULLETIN OF MATHEMATICAL SCIENCES, 2017, 7 (02) : 211 - 217
  • [7] On the possibility of strengthening the Lieb-Thirring inequality
    D. S. Barsegyan
    [J]. Mathematical Notes, 2009, 86 : 753 - 766
  • [8] A POSITIVE DENSITY ANALOGUE OF THE LIEB-THIRRING INEQUALITY
    Frank, Rupert L.
    Lewin, Mathieu
    Lieb, Elliott H.
    Seiringer, Robert
    [J]. DUKE MATHEMATICAL JOURNAL, 2013, 162 (03) : 435 - 495
  • [9] Magnetic Lieb-Thirring inequality for periodic functions
    Ilyin, A. A.
    Laptev, A. A.
    [J]. RUSSIAN MATHEMATICAL SURVEYS, 2020, 75 (04) : 779 - 781
  • [10] A Sharp Lieb-Thirring Inequality for Functional Difference Operators
    Laptev, Ari
    Schimmer, Lukas
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2021, 17
12345