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
  • [41] NORM INEQUALITIES IN MULTIDIMENSIONAL LORENTZ SPACES
    Simonov, Boris
    Tikhonov, Sergey
    MATHEMATICA SCANDINAVICA, 2008, 103 (02) : 278 - 294
  • [42] WEIGHTED NORM INEQUALITIES IN LORENTZ SPACES
    LUO, CN
    KEXUE TONGBAO, 1986, 31 (19): : 1364 - 1365
  • [43] Optimal embeddings of critical Sobolev-Lorentz-Zygmund spaces
    Wadade, Hidemitsu
    STUDIA MATHEMATICA, 2014, 223 (01) : 77 - 95
  • [44] Calderon-Zygmund Operators and Commutators on Weighted Lorentz Spaces
    Carro, Maria J.
    Li, Hongliang
    Soria, Javier
    Sun, Qinxiu
    JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (09) : 8979 - 8990
  • [45] Calderón–Zygmund Operators and Commutators on Weighted Lorentz Spaces
    María J. Carro
    Hongliang Li
    Javier Soria
    Qinxiu Sun
    The Journal of Geometric Analysis, 2021, 31 : 8979 - 8990
  • [46] Interpolation of operators on scales of generalized Lorentz-Zygmund spaces
    Evans, WD
    Opic, B
    Pick, L
    MATHEMATISCHE NACHRICHTEN, 1996, 182 : 127 - 181
  • [47] Fourier Series in Weighted Lorentz Spaces
    Javad Rastegari
    Gord Sinnamon
    Journal of Fourier Analysis and Applications, 2016, 22 : 1192 - 1223
  • [48] The Fourier transform in weighted Lorentz spaces
    Sinnamon, G
    PUBLICACIONS MATEMATIQUES, 2003, 47 (01) : 3 - 29
  • [49] Fourier Series in Weighted Lorentz Spaces
    Rastegari, Javad
    Sinnamon, Gord
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2016, 22 (05) : 1192 - 1223
  • [50] Dual spaces of Lorentz-Zygmund type in optimal interpolation
    Pustylnik, E
    FORUM MATHEMATICUM, 2004, 16 (03) : 383 - 401
12345