ORDER-SHARP ESTIMATES FOR HARDY-TYPE OPERATORS ON CONES OF QUASIMONOTONE FUNCTIONS

被引：0
|
作者：
Goldman, M. L. [1 ]
机构：
[1] Peoples Friendship Univ Russia, Dept Nonlinear Anal & Optimizat, 6 Mikluho Maklaya St, Moscow 117198, Russia
来源：
EURASIAN MATHEMATICAL JOURNAL | 2011年 / 2卷 / 03期
关键词：
Hardy type operator; cones of quasimonotone functions; criterion of the boundedness;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The two-sided estimates are obtained for two types of generalized Hardy operators on cones of functions in weighted Lebesgue spaces with some properties of monotonicity.
引用
收藏
页码：143 / 146
页数：4
相关论文
共 50 条
  • [1] ORDER-SHARP ESTIMATES FOR HARDY-TYPE OPERATORS ON THE CONES OF FUNCTIONS WITH PROPERTIES OF MONOTONICITY
    Goldman, M. L.
    [J]. EURASIAN MATHEMATICAL JOURNAL, 2012, 3 (02): : 53 - 84
  • [2] Estimates of norms of Hardy-type integral and discrete operators on cones of quasimonotone functions
    Gol'dman, ML
    [J]. DOKLADY MATHEMATICS, 2001, 63 (02) : 250 - 255
  • [3] SHARP WEAK ESTIMATES FOR HARDY-TYPE OPERATORS
    Gao, Guilian
    Hu, Xiaomin
    Zhang, Chunjie
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2016, 7 (03): : 421 - 433
  • [4] SOME EQUIVALENT CRITERIA FOR THE BOUNDEDNESS OF HARDY-TYPE OPERATORS ON THE CONE OF QUASIMONOTONE FUNCTIONS
    Goldman, M. L.
    [J]. EURASIAN MATHEMATICAL JOURNAL, 2013, 4 (04): : 43 - 63
  • [5] Weighted Hardy-Type Operators on Nonincreasing Cones
    Sun, Qinxiu
    Li, Hongliang
    [J]. MATHEMATICAL NOTES, 2020, 107 (5-6) : 1002 - 1013
  • [6] Weighted Hardy-Type Operators on Nonincreasing Cones
    Qinxiu Sun
    Hongliang Li
    [J]. Mathematical Notes, 2020, 107 : 1002 - 1013
  • [7] Hardy-type estimates for Dirac operators
    Dolbeault, Jean
    Esteban, Maria J.
    Duoandikoetxea, Javier
    Vega, Luis
    [J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2007, 40 (06): : 885 - 900
  • [8] Hardy-type inequalities on the cones of monotone functions
    O. V. Popova
    [J]. Siberian Mathematical Journal, 2012, 53 : 152 - 167
  • [9] HARDY-TYPE INEQUALITIES ON THE CONES OF MONOTONE FUNCTIONS
    Popova, O. V.
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 2012, 53 (01) : 152 - 167
  • [10] Estimates for n-widths of the Hardy-type operators (Addendum to "Improved estimates for the approximation numbers of the Hardy-type operators")
    Lang, J
    [J]. JOURNAL OF APPROXIMATION THEORY, 2006, 140 (02) : 141 - 146
12345