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Xueting Han,
Ji Li, and
Liangchuan Wu
Endpoint boundedness of singular integrals: CMO space associated to
Schrodinger operators
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| Published: |
September 16, 2025. |
| Keywords: |
maximal operator, Riesz transforms, CMO space, Schrodinger operators. |
| Subject [2010]: |
Primary 42B20. Secondary 42B25, 42B35. |
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Abstract
Let L = -Δ + V be a Schrodinger operator acting on L2(Rn), where the nonnegative potential V belongs to the reverse Holder class RHq for some q >= n/2. This article is primarily concerned with the study of endpoint boundedness for classical singular integral operators in the context of the space CMOL(Rn), consisting of functions of vanishing mean oscillation associated with L.
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| Acknowledgements
Li is supported by ARC DP220100285. Wu is supported by
NNSF of China # 12201002 and Anhui NSF of China # 2208085QA03.
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| Author information
Xueting Han
School of Mathematics and Physics
University of Science and Technology Beijing
Beijing 100083, China, and
School of Mathematical and Physical Sciences
Macquarie University
NSW 2109, Australia
hanxueting12@163.com
Ji Li
School of Mathematical and Physical Sciences
Macquarie University
NSW 2109, Australia
ji.li@mq.edu.au
Liangchuan Wu
School of Mathematical Science
Anhui University
Hefei 230601, China
wuliangchuan@ahu.edu.cn
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