Boundedness of rough fractional multilinear integral operators on generalized Morrey spaces

被引：6

作者：

Akbulut, Ali ^{[1
]}

Hamzayev, Vugar H ^{[2
,3
]}

Safarov, Zaman V ^{[2
]}

机构：

[1] Ahi Evran Univ, Dept Math, Kirsehir, Turkey

[2] Inst Math & Mech NASA, Baku, Azerbaijan

[3] Nakhchivan Teacher Training Inst, Nakhchivan, Azerbaijan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

fractional multilinear integral; rough kernel; BMO; generalized Morrey space; NONDIVERGENCE ELLIPTIC-EQUATIONS; MAXIMAL OPERATOR; COMMUTATORS; REGULARITY;

D O I：

10.1186/s13660-015-0751-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the boundedness of fractional multilinear integral operators with rough kernels T-A,T-m,(omega alpha) on the generalized Morrey spaces M-p,M-phi. We find the sufficient conditions on the pair (phi 1,phi 2), which ensures the boundedness of the operators T-A,T-m ,(omega alpha) from Mp,phi 1 to Mp,phi 2 for 1 < p < infinity. In all cases the conditions for the boundedness of the operator T-A,T-m (omega,alpha) is given in terms of Zygmund-type integral inequalities on (phi 1,phi 2), which do not make any assumption on the monotonicity of phi 1(x,r), phi 2(x,r) in r.

引用

页数：12

共 32 条

[1]

Akbulut A, 2012, MATH BOHEM, V137, P27

[2] Necessary and Sufficient Conditions for the Boundedness of the Riesz Potential in Local Morrey-type Spaces [J].