ON WEIGHTED BERNSTEIN TYPE INEQUALITY IN GRAND VARIABLE EXPONENT LEBESGUE SPACES

被引：7
|
作者：
Kokilashvili, Vakhtang [1 ,2 ]
Meskhi, Alexander [1 ,3 ]
机构：
[1] I Javakhishvili Tbilisi State Univ, Dept Math Anal, A Razmadze Math Inst, GE-0177 Tbilisi, Georgia
[2] Int Black Sea Univ, GE-0131 Tbilisi, Georgia
[3] Georgian Tech Univ, Dept Math, Fac Informat & Control Syst, Tbilisi, Georgia
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 03期
基金：
美国国家科学基金会;
关键词：
Bernstein inequality; trigonometric polynomial; grand variable exponent Lebesgue spaces;
D O I：
10.7153/mia-18-75
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper a weighted Bernstein type inequality on derivatives of trigonometric polynomials is established in new function spaces unifying two nonstandard Banach function spaces, in particular, grand and variable exponent Lebegue spaces.
引用
收藏
页码：991 / 1002
页数：12
相关论文
共 50 条
  • [1] On a general weighted Hardy type inequality in the variable exponent Lebesgue spaces
    David Cruz-Uribe
    Farman I. Mamedov
    Revista Matemática Complutense, 2012, 25 : 335 - 367
  • [2] On a general weighted Hardy type inequality in the variable exponent Lebesgue spaces
    Cruz-Uribe, David
    Mamedov, Farman I.
    REVISTA MATEMATICA COMPLUTENSE, 2012, 25 (02): : 335 - 367
  • [3] Weighted variable exponent grand Lebesgue spaces and inequalities of approximation
    Aydin, Ismail
    Akgun, Ramazan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (01): : 199 - 215
  • [4] Local grand variable exponent Lebesgue spaces
    Rafeiro, Humberto
    Samko, Stefan
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023, 42 (1-2): : 1 - 15
  • [5] Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces
    Kokilashvili, Vakhtang
    Meskhi, Alexander
    ANNALS OF FUNCTIONAL ANALYSIS, 2021, 12 (03)
  • [6] Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces
    Vakhtang Kokilashvili
    Alexander Meskhi
    Annals of Functional Analysis, 2021, 12
  • [7] Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces
    Kulak, Oznur
    Gurkanli, A. Turan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [8] Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces
    Öznur Kulak
    A Turan Gürkanlı
    Journal of Inequalities and Applications, 2013
  • [9] Gagliardo-Nirenberg type inequality for variable exponent Lebesgue spaces
    Kopaliani, Tengiz
    Chelidze, George
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (01) : 232 - 236
  • [10] MAXIMAL AND CALDERON-ZYGMUND OPERATORS IN WEIGHTED GRAND VARIABLE EXPONENT LEBESGUE SPACES
    Kokilashvili, V
    Meskhi, A.
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2019, 173 (02) : 127 - 131
12345