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Huaye Jiao and
Haibo Lin
Boundedness of Littlewood-Paley g-functions on
non-homogeneous metric measure spaces
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| Published: |
September 23, 2018 |
| Keywords: |
non-homogeneous metric measure space, Littlewood-Paley g-function, RBMO space, RBLO space, Hardy space. |
| Subject: |
Primary 42B25; Secondary 42B35, 42B30, 30L99. |
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Abstract
In this paper, we establish the boundedness of Littlewood-Paley g-functions on Lebesgue spaces, BMO-type spaces, and Hardy spaces over non-homogeneous metric measure spaces satisfying the weak reverse doubling condition.
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| Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11301534 and 11471042) and Chinese Universities Scientific Fund (Grant No. 2017LX003).
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| Author information
Huaye Jiao:
College of Science
China Agricultural University
Beijing 100083, People's Republic of China
valyn1219@outlook.com
Haibo Lin:
College of Science
China Agricultural University
Beijing 100083, People's Republic of China
haibolincau@126.com
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