Boundedness of rough singular integral operators and commutators on Morrey-Herz spaces with variable exponents

被引：0

作者：

Wang, Liwei ^{[1
]}

Qu, Meng ^{[2
]}

Shu, Lisheng ^{[2
]}

机构：

[1] Anhui Polytech Univ, Sch Math & Phys, Dept Appl Math, Wuhu 241000, Peoples R China

[2] Anhui Normal Univ, Dept Appl Math, Sch Math & Comp Sci, Wuhu 241003, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

variable exponent; Morrey-Herz spaces; commutators; singular integrals; SUBLINEAR-OPERATORS; FRACTIONAL INTEGRALS; SMOOTHNESS; LEBESGUE; BESOV;

D O I：

10.1186/s13660-016-1161-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By decomposing functions, we establish some boundedness results for some rough singular integrals on the homogeneous Morrey-Herz spaces M(K) over dot(q,p(.))(alpha(.),lambda)(R-n), where the two main indices are variable. The corresponding results as regards their commutators are also considered.

引用

页数：15

共 50 条

[1] Boundedness of rough singular integral operators and commutators on Morrey-Herz spaces with variable exponents
Liwei Wang
Meng Qu
Lisheng Shu
[J]. Journal of Inequalities and Applications, 2016
[2] Boundedness of some sublinear operators and commutators on Morrey-Herz spaces with variable exponents
Lu, Yan
Zhu, Yue Ping
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (04) : 969 - 987
[3] Boundedness of some sublinear operators and commutators on Morrey-Herz spaces with variable exponents
Yan Lu
Yue Ping Zhu
[J]. Czechoslovak Mathematical Journal, 2014, 64 : 969 - 987
[4] Boundedness of Multilinear Calderon-Zygmund Singular Operators on Morrey-Herz Spaces with Variable Exponents
Lu, Yan
Zhu, Yue Ping
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (07) : 1180 - 1194
[5] Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents
Cai, Jinling
Dong, Baohua
Tang, Canqin
[J]. JOURNAL OF MATHEMATICAL STUDY, 2020, 53 (03): : 297 - 315
[6] BOUNDEDNESS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS ON THE HOMOGENEOUS MORREY-HERZ SPACES
Wu, Jianglong
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2009, 61 (10) : 1684 - 1693
[7] Commutators of Hardy-Cesaro operators on Morrey-Herz spaces with variable exponents
Dung, Kieu Huu
Minh, Do Lu Cong
Thuy, Pham Thi Kim
[J]. AIMS MATHEMATICS, 2022, 7 (10): : 19147 - 19166
[8] 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
[9] Boundedness for commutators of n-dimensional rough Hardy operators on Morrey-Herz spaces
Gao, Guilian
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (04) : 544 - 549
[10] Boundedness of multilinear Calderón-Zygmund singular operators on Morrey-Herz spaces with variable exponents
Yan Lu
Yue Ping Zhu
[J]. Acta Mathematica Sinica, English Series, 2014, 30 : 1180 - 1194

← 1 2 3 4 5 →