Boundedness of quasilinear integral operators of iterated type with Oinarov's kernel on the cone of monotone functions

被引:2
|
作者
Stepanov, V. D. [1 ]
Shambilova, G. E. [1 ]
机构
[1] RUDN Univ, Moscow, Russia
基金
俄罗斯科学基金会;
关键词
HARDY-TYPE INEQUALITIES; WEIGHTED INEQUALITIES; SUBLINEAR-OPERATORS;
D O I
10.1134/S1064562417040056
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Necessary and sufficient conditions for the weighted boundedness of a class of positive quasilinear two-kernel integral operators of iterated type on the real half-line are given.
引用
收藏
页码:315 / 320
页数:6
相关论文
共 50 条
  • [21] Boundedness of fractional integral operators with homogeneous kernel in weak type Hardy spaces
    Ma, B.L.
    Zhang, P.
    Hunan Daxue Xuebao/Journal of Hunan University Natural Sciences, 2001, 28 (03):
  • [22] Boundedness of Hardy-type operators with a kernel: integral weighted conditions for the case
    Krepela, Martin
    REVISTA MATEMATICA COMPLUTENSE, 2017, 30 (03): : 547 - 587
  • [23] Integral operators on cones of monotone functions
    A. Gogatishvili
    V. D. Stepanov
    Doklady Mathematics, 2012, 86 : 650 - 653
  • [24] Integral operators on cones of monotone functions
    Gogatishvili, A.
    Stepanov, V. D.
    DOKLADY MATHEMATICS, 2012, 86 (02) : 650 - 653
  • [25] LOCAL BOUNDEDNESS OF MONOTONE-TYPE OPERATORS
    FITZPATRICK, PM
    HESS, P
    KATO, T
    PROCEEDINGS OF THE JAPAN ACADEMY, 1972, 48 (05): : 275 - +
  • [26] A generalization of the compression cone method for integral operators with changing sign kernel functions
    Liu, Ankai
    Feng, Wenying
    BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
  • [27] A generalization of the compression cone method for integral operators with changing sign kernel functions
    Ankai Liu
    Wenying Feng
    Boundary Value Problems, 2019
  • [28] On boundedness of unified integral operators for quasiconvex functions
    Dongming Zhao
    Ghulam Farid
    Muhammad Zeb
    Sohail Ahmad
    Kahkashan Mahreen
    Advances in Difference Equations, 2020
  • [29] WEIGHTED BOUNDEDNESS OF TOEPLITZ TYPE OPERATORS RELATED TO SINGULAR INTEGRAL OPERATORS WITH NON-SMOOTH KERNEL
    Zhou, Xiaosha
    Liu, Lanzhe
    COLLOQUIUM MATHEMATICUM, 2013, 133 (02) : 253 - 271
  • [30] On boundedness of unified integral operators for quasiconvex functions
    Zhao, Dongming
    Farid, Ghulam
    Zeb, Muhammad
    Ahmad, Sohail
    Mahreen, Kahkashan
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)