INTEGRAL OPERATORS WITH TWO VARIABLE INTEGRATION LIMITS ON THE CONE OF MONOTONE FUNCTIONS

被引：0

作者：

Kalybay, Aigerim ^{[1
]}

Oinarov, Ryskul ^{[2
]}

Temirkhanova, Ainur ^{[2
]}

机构：

[1] KIMEP Univ, 4 Abai Ave, Alma Ata 050010, Kazakhstan

[2] LN Gumilyov Eurasian Natl Univ, 5 Munaytpasov St, Astana 010008, Kazakhstan

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 01期

关键词：

Integral operator with variable integration limits; Hardy-Steklov operator; weighted inequality; non-increasing function; non-decreasing function; LEBESGUE SPACES; BOUNDEDNESS; INEQUALITIES; KERNEL; COMPACTNESS;

D O I：

10.7153/jmi-2019-13-01

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Weighted inequalities for the Hardy-Steklov operators with variable integration limits on the cone of monotone functions have been investigated with success. The similar problem for operators with kernels has remained unsolved up to now. In this paper we find characterizations for integral operators with a wide class of kernels.

引用

页码：1 / 16

页数：16

共 23 条

[1]

ARENDARENKO L. S., 2013, ADV HARMONIC ANAL OP, P77

[2] WEIGHTED INEQUALITIES OF HARDY TYPE [J].