Lipschitz estimates for rough fractional multilinear integral operators on variable local generalized Morrey spaces

被引：0
作者：
Akbulut, A. [1 ]
Ekincioglu, I. [2 ,3 ]
Khaligova, S. Z. [4 ]
机构：
[1] Kirsehir Ahi Evran Univ, Dept Math, TR-40100 Kirsehir, Turkiye
[2] Dumlupinar Univ, Dept Math, Kutahya, Turkiye
[3] Istanbul Medeniyet Univ, Dept Math, Istanbul, Turkiye
[4] Azerbaijan State Pedag Univ, Baku, Azerbaijan
来源：
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2023年 / 16卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
Fractional multilinear integral; rough kernel; Lipshitz function; variable exponent vanishing generalized Morrey space; EXPONENT MORREY; SINGULAR-OPERATORS; RIESZ-POTENTIALS; BOUNDEDNESS; COMMUTATORS; LEBESGUE;
D O I：
10.32513/asetmj/193220082317
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain the Lipschitz boundedness for a class of fractional multilinear integral operators IA,m & OHM;,& alpha; with rough kernels & OHM; & ISIN; Ls(Sn-1), s > n/(n - & alpha;) on the variable exponent local general-ized Morrey spaces M{x0} p(& BULL;),& phi;, variable exponent generalized Morrey spaces Mp(& BULL;),& phi; and variable exponent vanishing generalized Morrey spaces VMp(& BULL;),& phi;, where the functions A belong to ho-mogeneous Lipschitz space ?& beta;, 0 < & beta; < 1.
引用
收藏
页码：63 / 77
页数：15
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