Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces

被引：0
|
作者：
G. Akishev
L. E. Persson
A. Seger
机构：
[1] L.N. Gumilyov Eurasian National University,Department of Fundamental Mathematics
[2] Ural Federal University,Institute of Mathematics and Computer Science
[3] The Artic University of Norway,Department of Computer Science and Computational Engineering Campus Narvik
来源：
Journal of Inequalities and Applications | / 2019卷
关键词：
Inequalities; Fourier series; Fourier coefficients; Unbounded orthogonal systems; Lorentz–Zygmund spaces; 42A16; 42B05; 26D15; 26D20; 46E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A number of classical inequalities and convergence results related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of Lorentz–Zygmund spaces.
引用
收藏
相关论文
共 50 条
  • [1] Some Fourier inequalities for orthogonal systems in Lorentz-Zygmund spaces
    Akishev, G.
    Persson, L. E.
    Seger, A.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [2] Some new Fourier inequalities for unbounded orthogonal systems in Lorentz–Zygmund spaces
    G. Akishev
    D. Lukkassen
    L. E. Persson
    Journal of Inequalities and Applications, 2020
  • [3] Some new Fourier inequalities for unbounded orthogonal systems in Lorentz-Zygmund spaces
    Akishev, G.
    Lukkassen, D.
    Persson, L. E.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [4] Nikol’skii inequalities for Lorentz–Zygmund spaces
    Leo R. Ya. Doktorski
    Dmitrij Gendler
    Boletín de la Sociedad Matemática Mexicana, 2019, 25 : 659 - 672
  • [5] Nikol'skii inequalities for Lorentz-Zygmund spaces
    Doktorski, Leo R. Ya
    Gendler, Dmitrij
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2019, 25 (03): : 659 - 672
  • [6] Ulyanov-type Inequalities Between Lorentz–Zygmund Spaces
    Amiran Gogatishvili
    Bohumír Opic
    Sergey Tikhonov
    Walter Trebels
    Journal of Fourier Analysis and Applications, 2014, 20 : 1020 - 1049
  • [7] Weighted Fourier Inequalities in Lebesgue and Lorentz Spaces
    Erlan Nursultanov
    Sergey Tikhonov
    Journal of Fourier Analysis and Applications, 2020, 26
  • [8] Weighted Fourier Inequalities in Lebesgue and Lorentz Spaces
    Nursultanov, Erlan
    Tikhonov, Sergey
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (04)
  • [9] Some inequalities related to the Lorentz spaces
    Machihara, Shuji
    Ozawa, Tohru
    HOKKAIDO MATHEMATICAL JOURNAL, 2013, 42 (02) : 247 - 267
  • [10] Ulyanov-type Inequalities Between Lorentz-Zygmund Spaces
    Gogatishvili, Amiran
    Opic, Bohumir
    Tikhonov, Sergey
    Trebels, Walter
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2014, 20 (05) : 1020 - 1049
12345