| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 1, March 2022
|
|
|---|---|---|
| Page(s) | 35 - 41 | |
| DOI | https://doi.org/10.1051/wujns/2022271035 | |
| Published online | 16 March 2022 | |
Mathematics
CLC number: O178;O18
Complex-Valued Valuations on Lp Spaces
School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China
Received: 26 September 2021
All continuous translation invariant complex-valued valuations on Lebesgue measurable functions are completely classified. And all continuous rotation invariant complex-valued valuations on spherical Lebesgue measurable functions are also completely classified.
Key words: convex body / valuation / translation invariance / rotation invariance
Biography: LIU Lijuan, female, Ph. D., research direction: convex geometry. E-mail:lijuanliu@hnust.edu.cn
Foundation item: Supported by the Natural Science Foundation of Hunan Province (2019JJ50172)
© Wuhan University 2022
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