A Hardy-type inequality in two dimensions

被引：3
作者：
Kumar, Suket [1 ]
机构：
[1] Univ Delhi, Dept Math, Delhi 110007, India
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2009年 / 20卷 / 02期
关键词：
Hardy inequality; Hardy operator; Strong-type inequality; Weak-type inequality; Boundedness of operators; WEIGHTED NORM INEQUALITIES;
D O I：
10.1016/S0019-3577(09)80012-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient conditions are given for a weighted norm inequality for the sum of two-dimensional Hardy-type integral operators with not necessarily non-negative coefficients.
引用
收藏
页码：247 / 260
页数：14
相关论文
共 50 条
  • [21] A new approach to Hardy-type inequalities
    Osekowski, Adam
    ARCHIV DER MATHEMATIK, 2015, 104 (02) : 165 - 176
  • [22] A new approach to Hardy-type inequalities
    Adam Osȩkowski
    Archiv der Mathematik, 2015, 104 : 165 - 176
  • [23] On a scale of Hardy-type integral inequalities
    Yu. A. Dubinskii
    Doklady Mathematics, 2010, 81 : 111 - 114
  • [24] WEIGHTED INEQUALITIES OF HARDY-TYPE ON AMALGAMS
    Jain, Pankaj
    Kumar, Suket
    REAL ANALYSIS EXCHANGE, 2008, 34 (02) : 483 - 499
  • [25] HARDY-TYPE INEQUALITIES FOR Lp SEQUENCES
    Bouthat, Ludovick
    Mashreghi, Javad
    Morneau-Guerin, Frederic
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (03): : 1165 - 1178
  • [26] On a new class of Hardy-type inequalities
    Adeleke, E. O.
    Cizmesija, A.
    Oguntuase, J. A.
    Persson, L-E
    Pokaz, D.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [27] Optimal LP Hardy-type inequalities
    Devyver, Baptiste
    Pinchover, Yehuda
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2016, 33 (01): : 93 - 118
  • [28] General Hardy-type operators on local generalized Morrey spaces
    Yee, Tat-leung
    Ho, Kwok-pun
    CONSTRUCTIVE MATHEMATICAL ANALYSIS, 2025, 8 (01): : 1 - 14
  • [29] ESTIMATE OF THE BEST CONSTANT OF DISCRETE HARDY-TYPE INEQUALITY WITH MATRIX OPERATOR SATISFYING THE OINAROV CONDITION
    Kalybay, A.
    Shalginbayeva, S.
    EURASIAN MATHEMATICAL JOURNAL, 2024, 15 (02): : 42 - 47
  • [30] Hardy-type inequalities on the cones of monotone functions
    O. V. Popova
    Siberian Mathematical Journal, 2012, 53 : 152 - 167
12345