Necessary and sufficient conditions for boundedness of multilinear fractional integrals with rough kernels on Morrey type spaces

被引：0

作者：

Shi, Yanlong ^{[2
]}

Si, Zengyan ^{[3
]}

Tao, Xiangxing ^{[1
]}

Shi, Yafeng ^{[4
,5
]}

机构：

[1] Zhejiang Univ Sci & Technol, Fac Sci, Hangzhou 310023, Zhejiang, Peoples R China

[2] Zhejiang Pharmaceut Coll, Ningbo 315100, Zhejiang, Peoples R China

[3] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

[4] Ningbo Univ Technol, Sch Sci, Ningbo 315211, Zhejiang, Peoples R China

[5] Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

基金：

中国国家自然科学基金;

关键词：

multilinear maximal operator; multilinear fractional integrals; rough kernel; Morrey spaces; modified Morrey spaces; SUBLINEAR-OPERATORS; RIESZ-POTENTIALS;

D O I：

10.1186/s13660-015-0930-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study necessary and sufficient conditions on the parameters of the boundedness on Morrey spaces and modified Morrey spaces for T-Omega,T-alpha and M-Omega,M-alpha, which are a multilinear fractional integral and a multilinear fractional maximal operator with rough kernel, respectively. Our results extend some known results

引用

页码：1 / 19

页数：19

共 50 条

[1] Necessary and sufficient conditions for boundedness of multilinear fractional integrals with rough kernels on Morrey type spaces
Yanlong Shi
Zengyan Si
Xiangxing Tao
Yafeng Shi
[J]. Journal of Inequalities and Applications, 2016
[2] 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
[3] 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,
[4] Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces
Akbulut, Ali
Hasanov, Amil
[J]. OPEN MATHEMATICS, 2016, 14 : 1023 - 1038
[5] Rough Multilinear Fractional Integrals on Weighted Morrey Spaces
Li, Xiao
Cui, Runqing
[J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
[6] Boundedness of Multilinear Commutators with Rough Kernels on Morrey-Herz Spaces
Qiaoni Li
Shuangping Tao
[J]. Analysis in Theory and Applications, 2013, 29 (03) : 289 - 307
[7] Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces
Burenkov, V. I.
Guliev, V. S.
Guliev, G. V.
[J]. DOKLADY MATHEMATICS, 2006, 74 (01) : 540 - 544
[8] Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces
V. I. Burenkov
V. S. Guliev
G. V. Guliev
[J]. Doklady Mathematics, 2006, 74 : 540 - 544
[9] Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces
Burenkov, Viktor I.
Guliyev, Huseyn V.
Guliyev, Vagif S.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 208 (01) : 280 - 301
[10] BOUNDEDNESS OF THE MULTILINEAR FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL ON MORREY SPACES
Guliyev, Emin V.
Hasanov, Amil A.
Safarov, Zaman V.
[J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2015, 41 (01): : 44 - 55

← 1 2 3 4 5 →