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

来源：

DOKLADY MATHEMATICS | 2017年 / 96卷 / 01期

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

页码：315 / 320

页数：6

共 50 条

[31] Boundedness and compactness of Volterra type integral operators
Oinarov, R.
SIBERIAN MATHEMATICAL JOURNAL, 2007, 48 (05) : 884 - 896
[32] On the boundedness of a class of fractional type integral operators
Rautian, N. A.
SBORNIK MATHEMATICS, 2009, 200 (11-12) : 1807 - 1832
[33] ON THE BOUNDEDNESS OF FRACTIONAL TYPE MARCINKIEWICZ INTEGRAL OPERATORS
Xue, Qingying
Yabuta, Kozo
Yan, Jingquan
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 519 - 527
[34] SOME EQUIVALENT CRITERIA FOR THE BOUNDEDNESS OF HARDY-TYPE OPERATORS ON THE CONE OF QUASIMONOTONE FUNCTIONS
Goldman, M. L.
EURASIAN MATHEMATICAL JOURNAL, 2013, 4 (04): : 43 - 63
[35] ON INTEGRAL-INEQUALITIES ON A CONE OF FUNCTIONS WITH MONOTONE PROPERTIES
GOLDMAN, ML
DOKLADY AKADEMII NAUK SSSR, 1991, 320 (05): : 1037 - 1042
[36] Boundedness and compactness of Volterra type integral operators
R. Oinarov
Siberian Mathematical Journal, 2007, 48 : 884 - 896
[37] The Boundedness of Commutators of Singular Integral Operators with Besov Functions
Gao, Xionglue
Ma, Bolin
JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2010, 8 (03): : 245 - 256
[38] Bounds for a class of quasilinear integral operators on the set of non-negative and non-negative monotone functions
Kalybay, A. A.
Oinarov, R.
IZVESTIYA MATHEMATICS, 2019, 83 (02) : 251 - 272
[39] BOUNDEDNESS OF FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL ON GENERALIZED MORREY SPACES
Eroglu, Ahmet
Alizadeh, Farida Ch.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2012, 37 (45): : 39 - 50
[40] BOUNDEDNESS OF THE MULTILINEAR FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL ON MORREY SPACES
Guliyev, Emin V.
Hasanov, Amil A.
Safarov, Zaman V.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2015, 41 (01): : 44 - 55

← 1 2 3 4 5 →