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Luobin Liu and
Jiang Zhou
Weighted norm inequalities for maximal operator and extrapolation on variable Lebesgue spaces underlying nonhomogeneous trees
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| Published: |
July 29, 2025. |
| Keywords: |
variable Lebesgue spaces, weights, maximal operator, extrapolation, trees. |
| Subject [2010]: |
42B25; 42B35; 05C05. |
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Abstract
This paper aims to study the weighted strong and weak norm inequalities for maximal operator and the extrapolation theorem on variable Lebesgue spaces in the context of nonhomogeneous trees equipped with flow measures. For this, we introduce a class of continuity condition, which play a key role in this paper. Furthermore, in virtue of extrapolation, the weighted norm inequalities for the sharp maximal operator are established.
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| Acknowledgements
The research was supported by Natural Science Foundation of China (Grant No. 12461021).
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| Author information
Luobin Liu
College of Mathematics and System Sciences
Xinjiang University
Urumqi 830046, China
shankarsupy@gmail.com
Jiang Zhou
College of Mathematics and System Sciences
Xinjiang University
Urumqi 830046, China
zhoujiang@xju.edu.cn
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