MULTILINEAR INTEGRAL OPERATORS IN WEIGHTED GRAND LEBESGUE SPACES

被引：2
|
作者：
Kokilashvili, Vakhtang [1 ,2 ]
Mastylo, Mieczyslaw [3 ]
Meskhi, Alexander [1 ,4 ]
机构：
[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili Str, GE-0177 Tbilisi, Georgia
[2] I Javakhishvili Tbilisi State Univ, Int Black Sea Univ, 3 Agmashenebeli Ave, GE-0131 Tbilisi, Georgia
[3] Adam Mickiewicz Univ, Umultowska 87, PL-61614 Poznan, Poland
[4] Georgian Tech Univ, Dept Math, Fac Informat & Control Syst, 77 Kostava St, Tbilisi, Georgia
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2016年 / 19卷 / 03期
基金：
美国国家科学基金会;
关键词：
multisublinear maximal operators; multilinear singular integrals; one-weight inequality; grand Lebesgue space; multilinear fractional integrals; trace inequality; RIESZ FRACTIONAL INTEGRALS; INEQUALITIES; DIFFERENTIATION; BOUNDEDNESS;
D O I：
10.1515/fca-2016-0037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The boundedness of multi(sub) linear Hardy-Littlewood maximal, Calderon-Zygmund and fractional integral operators defined on metric measure spaces is established in weighted grand Lebesgue spaces. In particular, we derive the one-weight inequality for maximal and singular integrals under the Muckenhoupt type conditions, weighted Sobolev type theorem and trace type inequality for fractional integrals.
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页码：696 / 724
页数：29
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