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Necessary and sufficient conditions for the bounds of the commutator of a Littlewood-Paley operator with fractional differentiation

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成果类型:
期刊论文
作者:
Wu, Xiongtao;Chen, Yanping*;Wang, Liwei;Tao, Wenyu
通讯作者:
Chen, Yanping
作者机构:
[Wu, Xiongtao] Hengyang Normal Univ, Sch Math & Stat, Dept Math, Hengyang 421008, Peoples R China.
[Chen, Yanping] Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China.
[Wang, Liwei] Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Peoples R China.
[Tao, Wenyu] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China.
通讯机构:
[Chen, Yanping] U
Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China.
语种:
英文
关键词:
Commutator;Littlewood-Paley operator;Rough kernel;BMO Sobolev spaces;42B20;42B25
期刊:
Analysis and Mathematical Physics
ISSN:
1664-2368
年:
2019
卷:
9
期:
4
页码:
2109-2132
基金类别:
National Natural Science Foundation of China#&#&#10901017#&#&#10931001 Program for New Century Excellent Talents in University of China#&#&#NCET-11-0574 Specialized Research Fund for the Doctoral Program of Higher Education#&#&#20090003110018 the Science and Technology Plan Project of Hunan Province#&#&#2016TP1020 the Fundamental Research Funds for the Central Universities
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
For $$b\in L_{\mathrm{loc}}({\mathbb {R}}^n)$$ and $$0

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