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Baohua Dong,
Yu Li, and
Jingshi Xu
The Musielak-Orlicz Herz spaces
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| Published: |
December 7, 2023. |
| Keywords: |
Sublinear opeartor; Musielak-Orlicz Herz space. |
| Subject [2020]: |
Primary 42B35, 42B20. |
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Abstract
Inspired by the fact that the boundedness of certain sublinear operators on
Lp(Rn) implies their boundedness on the Herz spaces, we obtain that the boundedness of certain sublinear operators on Musielak-Orlicz spaces implies their boundedness on Musielak-Orlicz Herz spaces.
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| Acknowledgements
The corresponding author Jingshi Xu is supported by the National Natural Science Foundation of China (Grant No. 12161022).
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| Author information
Baohua Dong
Center for Applied Mathematics of Jiangsu Province
Department of Mathematics
Nanjing University of Information Science and Technology
Nanjing 210044, China
baohuadong@nuist.edu.cn
Yu Li
Department of Mathematics
Nanjing University of Information Science and Technology
Nanjing 210044, China
wlly992021@163.com
Jingshi Xu
Center for Applied Mathematics of Guangxi
Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation
School of Mathematics and Computing Science
Guilin University of Electronic Technology
Guilin 541004, China
jingshixu@126.com
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