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.

引用

页码：667 / 679

页数：13

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