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.
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页数：12
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