Ergodic theorem in variable Lebesgue spaces

被引：0
|
作者：
Przemysław Górka
机构：
[1] Warsaw University of Technology,Department of Mathematics and Information Sciences
来源：
Periodica Mathematica Hungarica | 2016年 / 72卷
关键词：
Lebesgue spaces with variable exponents; Ergodic theorem; Probability measure; 28D05; 54C35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove an Ergodic Theorem in variable exponent Lebesgue spaces, whenever the exponent is invariant under the transformation. Moreover, a counterexample is provided which shows that the norm convergence fails to hold for an arbitrary exponent.
引用
收藏
页码：243 / 247
页数：4
相关论文
共 50 条
  • [21] Greedy bases in variable Lebesgue spaces
    David Cruz-Uribe
    Eugenio Hernández
    José María Martell
    Monatshefte für Mathematik, 2016, 179 : 355 - 378
  • [22] Lebesgue points in variable exponent spaces
    Harjulehto, P
    Hästö, P
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2004, 29 (02) : 295 - 306
  • [23] Greedy bases in variable Lebesgue spaces
    Cruz-Uribe, David
    Hernandez, Eugenio
    Maria Martell, Jose
    MONATSHEFTE FUR MATHEMATIK, 2016, 179 (03): : 355 - 378
  • [24] The maximal theorem for weighted grand Lebesgue spaces
    Fiorenza, Alberto
    Gupta, Babita
    Jain, Pankaj
    STUDIA MATHEMATICA, 2008, 188 (02) : 123 - 133
  • [25] THE LEBESGUE DECOMPOSITION THEOREM FOR FUZZY QUANTUM SPACES
    MARKECHOVA, D
    TIRPAKOVA, A
    FUZZY SETS AND SYSTEMS, 1994, 68 (02) : 203 - 210
  • [26] A Cantor-Lebesgue theorem with variable ''coefficients''
    Ash, JM
    Wang, G
    Weinberg, D
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (01) : 219 - 228
  • [27] On Compactness of Operators in Variable Exponent Lebesgue Spaces
    Samko, Stefan
    TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1, 2010, 202 : 497 - 508
  • [28] Approximation problems in the Lebesgue spaces with variable exponent
    Israfilov, Daniyal M.
    Testici, Ahmet
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 459 (01) : 112 - 123
  • [29] Bounds for a nonlinear ergodic theorem for Banach spaces
    Freund, Anton
    Kohlenbach, Ulrich
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2023, 43 (05) : 1570 - 1593
  • [30] GENERALIZATION OF MEAN ERGODIC THEOREM IN BANACH SPACES
    JONES, L
    ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1973, 27 (02): : 105 - 107
12345