Oscillation and variation inequalities for singular integrals and commutators on weighted Morrey spaces

被引：0

作者：

Jing Zhang

Huoxiong Wu

机构：

[1] Xiamen University,School of Mathematical Sciences

[2] Yili Normal College,School of Mathematics and Statistics

来源：

Frontiers of Mathematics in China | 2016年 / 11卷

关键词：

Oscillation; variation; singular integrals; commutators; Morrey spaces; weights; 42B20; 42B25; 27G10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to investigating the bounded behaviors of the oscillation and variation operators for Calderón-Zygmund singular integrals and the corresponding commutators on the weighted Morrey spaces. We establish several criterions of boundedness, which are applied to obtain the corresponding bounds for the oscillation and variation operators of Hilbert transform, Hermitian Riesz transform and their commutators with BMO functions, or Lipschitz functions on weighted Morrey spaces.

引用

页码：423 / 447

页数：24

共 50 条

[1] Oscillation and variation inequalities for singular integrals and commutators on weighted Morrey spaces
Zhang, Jing
Wu, Huoxiong
[J]. FRONTIERS OF MATHEMATICS IN CHINA, 2016, 11 (02) : 423 - 447
[2] Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces
Zhang, Xiao
Liu, Feng
Zhang, Huiyun
[J]. ADVANCES IN NONLINEAR ANALYSIS, 2022, 11 (01) : 72 - 95
[3] Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces
Liu, Feng
Cui, Peng
[J]. SCIENCE CHINA-MATHEMATICS, 2022, 65 (06) : 1267 - 1292
[4] Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces
Feng Liu
Peng Cui
[J]. Science China(Mathematics), 2022, 65 (06) - 1292
[5] VARIATION OPERATORS FOR COMMUTATORS OF ROUGH SINGULAR INTEGRALS ON WEIGHTED MORREY SPACES
Liu, Feng
Fu, Zunwei
Wu, Yan
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (01): : 263 - 282
[6] Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces
Feng Liu
Peng Cui
[J]. Science China Mathematics, 2022, 65 : 1267 - 1292
[7] Commutators for multilinear singular integrals on weighted Morrey spaces
Wang, Songbai
Jiang, Yinsheng
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[8] Commutators for multilinear singular integrals on weighted Morrey spaces
Songbai Wang
Yinsheng Jiang
[J]. Journal of Inequalities and Applications, 2014
[9] Weighted variation inequalities for singular integrals and commutators
Wen, Yongming
Wu, Huoxiong
Zhang, Jing
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 485 (02)
[10] Estimates of singular integrals and multilinear commutators in weighted Morrey spaces
Xiao Feng Ye
Xu Sheng Zhu
[J]. Journal of Inequalities and Applications, 2012

← 1 2 3 4 5 →