Boundedness of sublinear operators in weighted grand Morrey spaces

被引：9
|
作者：
Kokilashvili, V. [1 ]
Meskhi, A. [1 ,2 ]
Rafeiro, H. [3 ]
机构：
[1] Tbilisi State Univ, Razmadze Math Inst Javakhishvili, Tbilisi, Georgia
[2] Georgian Tech Univ, Tbilisi, Georgia
[3] Pontificia Univ Javeriana, Bogota, Colombia
来源：
MATHEMATICAL NOTES | 2017年 / 102卷 / 5-6期
关键词：
sublinear operators; weighted Morrey spaces; spaces of homogeneous type; weighted inequality; singular integrals; fractional integrals; SMALL LEBESGUE SPACES; POTENTIALS;
D O I：
10.1134/S0001434617110062
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The boundedness of sublinear integral operators in grand Morrey spaces defined by means of measures generated by the Muckenhoupt weights is established. The operators under consideration involve operators of Harmonic Analysis such as Hardy-Littlewood and fractional maximal operators, CalderoA"-Zygmund operators, potential operators etc.
引用
收藏
页码：664 / 676
页数：13
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