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
收藏
页数：12
相关论文
共 50 条
  • [21] Necessary and sufficient conditions for the boundedness of rough multilinear fractional operators on Morrey-type spaces
    Zhiheng Wang
    Zengyan Si
    [J]. Journal of Inequalities and Applications, 2015
  • [22] Necessary and sufficient conditions for the boundedness of rough multilinear fractional operators on Morrey-type spaces
    Wang, Zhiheng
    Si, Zengyan
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [23] Boundedness of Modified Fractional Integral Operators on Morrey Spaces
    Al Hazmy, Sofihara
    Budhi, Wono Setia
    Soeharyadi, Yudi
    [J]. 6TH INTERNATIONAL CONFERENCE ON MATHEMATICS AND NATURAL SCIENCES, 2019, 1127
  • [24] Boundedness of multilinear singular integral operators on the homogeneous Morrey–Herz spaces
    Jianglong Wu
    [J]. Ukrainian Mathematical Journal, 2009, 61 : 1684 - 1693
  • [25] MULTILINEAR BMO ESTIMATES FOR THE COMMUTATORS OF MULTILINEAR FRACTIONAL MAXIMAL AND INTEGRAL OPERATORS ON THE PRODUCT GENERALIZED MORREY SPACES
    Gurbuz, Ferit
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (04): : 596 - 619
  • [26] Multilinear Singular and Fractional Integral Operators on Weighted Morrey Spaces
    Wang, Hua
    Yi, Wentan
    [J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [27] PARABOLIC FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL IN PARABOLIC GENERALIZED MORREY SPACES
    Guliyev, Vagif S.
    Balakishiyev, Aydin S.
    [J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2013, 38 (46): : 47 - 56
  • [28] Boundedness of Fractional Oscillatory Integral Operators and Their Commutators in Vanishing Generalized Weighted Morrey Spaces
    Cekic, Bilal
    Alabalik, Aysegul Celik
    [J]. JOURNAL OF FUNCTION SPACES, 2017, 2017
  • [29] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials
    Mizuta, Yoshihiro
    Nakai, Eiichi
    Ohno, Takao
    Shimomura, Tetsu
    [J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2010, 62 (03) : 707 - 744
  • [30] Multilinear Singular Integral Operators on Generalized Weighted Morrey Spaces
    Hu, Yue
    Li, Zhang
    Wang, Yueshan
    [J]. JOURNAL OF FUNCTION SPACES, 2014, 2014
12345