On the Boundedness of Multilinear Fractional Integral Operators

被引：7
|
作者：
Kokilashvili, Vakhtang [1 ,2 ]
Mastylo, Mieczyslaw [3 ]
Meskhi, Alexander [1 ,4 ]
机构：
[1] I Javakhishvili Tbilisi State Univ, Dept Math Anal, A Razmadze Math Inst, Tamarashvili Str 6, Tbilisi 0177, Georgia
[2] Int Black Sea Univ, 3 Agmashenebeli Ave, Tbilisi 0131, Georgia
[3] Adam Mickiewicz Univ, Fac Math & Comp Sci, Umultowska 87, PL-61614 Poznan, Poland
[4] Georgian Tech Univ, Dept Math, Fac Informat & Control Syst, 77,Kostava St, Tbilisi, Georgia
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2020年 / 30卷 / 01期
关键词：
Multilinear fractional integrals; Spaces defined with respect to measure; Quasi-metric measure spaces; Morrey spaces; WEIGHTED INEQUALITIES; MORREY SPACES;
D O I：
10.1007/s12220-019-00159-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient condition governing the boundedness of the multilinear fractional integral operator T gamma,mu defined with respect to a measure mu on a sigma-algebra of Borel sets of quasi-metric space X from the product Lp1(X,mu)xxLpm(X,mu) to Lq(X,mu) is established. The related weak type inequality is also obtained. The derived results are used to get appropriate boundedness of T gamma,mu in Morrey spaces defined with respect to a measure mu.
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页码：667 / 679
页数：13
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