HARDY-TYPE INEQUALITIES ON THE WEIGHTED CONES OF QUASI-CONCAVE FUNCTIONS

被引：10
作者：
Persson, L. -E. [1 ,2 ]
Shambilova, G. E. [3 ]
Stepanov, V. D. [3 ,4 ]
机构：
[1] Lulea Univ Technol, Dept Engn Sci & Math, SE-97187 Lulea, Sweden
[2] Narvik Univ Coll, NO-8505 Narvik, Norway
[3] Peoples Friendship Univ Russia, Dept Math Anal & Funct Theory, Moscow 117198, Russia
[4] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2015年 / 9卷 / 02期
基金：
俄罗斯科学基金会;
关键词：
Hardy-type inequality; weight; measure; Lorentz space; concave function; quasi-concave function; LORENTZ SPACES;
D O I：
10.15352/bjma/09-2-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The complete characterization of the Hardy-type L-p-L-q inequalities on the weighted cones of quasi-concave functions for all 0 < p, q < infinity is given.
引用
收藏
页码：21 / 34
页数：14
相关论文
共 16 条
  • [1] MAXIMAL FUNCTIONS ON CLASSICAL LORENTZ SPACES AND HARDY INEQUALITY WITH WEIGHTS FOR NONINCREASING FUNCTIONS
    ARINO, MA
    MUCKENHOUPT, B
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 320 (02) : 727 - 735
  • [2] Bennett C., 1988, INTERPOLATION OPERAT
  • [3] Carro MJ, 2007, MEM AM MATH SOC, V187, pIX
  • [4] Reduction theorems for weighted integral inequalities on the cone of monotone functions
    Gogatishvili, A.
    Stepanov, V. D.
    [J]. RUSSIAN MATHEMATICAL SURVEYS, 2013, 68 (04) : 597 - 664
  • [5] Some New Iterated Hardy-Type Inequalities
    Gogatishvili, A.
    Mustafayev, R. Ch
    Persson, L-E
    [J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
  • [6] Discretization and anti-discretization of rearrangement-invariant norms
    Gogatishvili, A
    Pick, L
    [J]. PUBLICACIONS MATEMATIQUES, 2003, 47 (02) : 311 - 358
  • [7] Some new iterated Hardy-type inequalities: the case θ=1
    Gogatishvili, Amiran
    Mustafayev, Rza
    Persson, Lars-Erik
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [8] Goldman ML, 2005, DOKL MATH, V71, P209
  • [9] On the principle of duality in Lorentz spaces
    GolDman, ML
    Heinig, HP
    Stepanov, VD
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1996, 48 (05): : 959 - 979
  • [10] Kantorovich L. V., 1982, Functional analysis, V2nd
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