Factorizations of Weighted Hardy Inequalities

被引：0
|
作者：
Sorina Barza
Anca N. Marcoci
Liviu G. Marcoci
机构：
[1] Karlstad University,Department of Mathematics and Computer Science
[2] Technical University of Civil Engineering Bucharest,Department of Mathematics and Computer Science
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2018年 / 49卷
关键词：
Factorization of function spaces; Hardy averaging integral operator; Cesàro spaces; Copson spaces; Primary 26D20; Secondary 46B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present factorizations of weighted Lebesgue, Cesàro and Copson spaces, for weights satisfying the conditions which assure the boundedness of the Hardy’s integral operator between weighted Lebesgue spaces. Our results enhance, among other, the best known forms of weighted Hardy inequalities.
引用
收藏
页码：915 / 932
页数：17
相关论文
共 50 条
  • [1] Factorizations of Weighted Hardy Inequalities
    Barza, Sorina
    Marcoci, Anca N.
    Marcoci, Liviu G.
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2018, 49 (04): : 915 - 932
  • [2] Weighted hardy inequalities
    Edmunds, DE
    Hurri-Syrjänen, R
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 310 (02) : 424 - 435
  • [3] Factorizations and Hardy-Rellich-type inequalities
    Gesztesy, Fritz
    Littlejohn, Lance
    NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS, MATHEMATICAL PHYSICS, AND STOCHASTIC ANALYSIS: THE HELGE HOLDEN ANNIVERSARY VOLME, 2018, : 207 - 226
  • [4] Weighted Hardy inequalities and Hardy transforms of weights
    Cerdà, J
    Martín, J
    STUDIA MATHEMATICA, 2000, 139 (02) : 189 - 196
  • [5] Perturbed weighted Hardy inequalities
    Weidemaier, P
    Sinnamon, G
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 234 (01) : 287 - 292
  • [6] WEIGHTED INEQUALITIES OF HARDY TYPE
    BATUEV, EN
    STEPANOV, VD
    SIBERIAN MATHEMATICAL JOURNAL, 1989, 30 (01) : 8 - 16
  • [7] Weighted bilinear Hardy inequalities
    Aguilar Canestro, M. Isabel
    Ortega Salvador, Pedro
    Ramirez Torreblanca, C.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (01) : 320 - 334
  • [8] Weighted pointwise Hardy inequalities
    Koskela, Pekka
    Lehrback, Juha
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2009, 79 : 757 - 779
  • [9] Weighted Inequalities of Hardy Type
    Nemeth, J.
    ACTA SCIENTIARUM MATHEMATICARUM, 2005, 71 (1-2): : 447 - 447
  • [10] Factorizations and Hardy-Rellich inequalities on stratified groups
    Ruzhansky, Michael
    Yessirkegenov, Nurgissa
    JOURNAL OF SPECTRAL THEORY, 2020, 10 (04) : 1361 - 1411
12345