WEIGHTED EXTRAPOLATION IN MIXED NORM FUNCTION SPACES

被引:0
|
作者
Kokilashvili, Vakhtang [1 ]
Meskhi, Alexander [1 ,2 ]
机构
[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili Str, GE-0186 Tbilisi, Georgia
[2] Kutaisi Int Univ, Youth Ave,5th Lane, GE-4600 Kutaisi, Georgia
基金
美国国家科学基金会;
关键词
Weighted extrapolation; Muckenhoupt's weights; Multiple operators; Banach function spaces; Mixed norm function spaces; Mixed norm grand Lebesgue spaces; LEBESGUE SPACES; GRAND;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Rubio de Francia's weighted extrapolation results for pairs of functions in mixed-norm Banach function spaces defined on the product of quasi-metric measure spaces are obtained. As a consequence, we formulate appropriate results for the mixed-norm Lebesgue, Lorentz, Orlicz and grand Lebesgue spaces. Here we treat only the weighted extrapolation in grand Lebesgue spaces with mixed norms.
引用
收藏
页码:287 / 291
页数:5
相关论文
共 50 条
  • [1] Extrapolation to mixed norm spaces and applications
    Ho, Kwok-Pun
    [J]. ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2021, 25 (02): : 281 - 296
  • [2] Rubio de Francia's weighted extrapolation in mixed-norm spaces and applications
    Kokilashvili, Vakhtang
    Meskhi, Alexander
    [J]. MATHEMATISCHE NACHRICHTEN, 2023, 296 (09) : 3929 - 3947
  • [3] EXTRAPOLATION AND WEIGHTED NORM INEQUALITIES IN THE VARIABLE LEBESGUE SPACES
    Cruz-Uribe, David
    Wang, Li-An Daniel
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (02) : 1205 - 1235
  • [4] Remarks on weighted mixed norm spaces
    Blasco, Oscar
    [J]. TOPICS IN COMPLEX ANALYSIS AND OPERATOR THEORY, 2012, 561 : 137 - 154
  • [5] Weighted mixed-norm inequalities through extrapolation
    Duoandikoetxea, Javier
    Oruetxebarria, Osane
    [J]. MATHEMATISCHE NACHRICHTEN, 2019, 292 (07) : 1482 - 1489
  • [6] WEIGHTED MIXED NORM INEQUALITIES IN MARTINGALE SPACES
    Chen, Wei
    Liu, Peide
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (01): : 61 - 71
  • [7] Zeros of functions in weighted spaces with mixed norm
    E. A. Sevast’yanov
    A. A. Dolgoborodov
    [J]. Mathematical Notes, 2013, 94 : 266 - 280
  • [8] Zeros of functions in weighted spaces with mixed norm
    Sevast'yanov, E. A.
    Dolgoborodov, A. A.
    [J]. MATHEMATICAL NOTES, 2013, 94 (1-2) : 266 - 280
  • [9] Weighted Composition Operators from Mixed Norm Spaces into Weighted Bloch Spaces
    Stevic, Stevo
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2009, 11 (01) : 70 - 80
  • [10] Operators on Mixed-Norm Amalgam Spaces via Extrapolation
    Y. Lu
    J. Zhou#
    S. Wang
    [J]. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2023, 58 : 226 - 242