The Orlicz Minkowski Problem for general measures
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Abstract:
The existence of a solution to the volume normalized Orlicz Minkowski problem is proved for general measures. This solves a limit case of Lutwak-Yang-Zhang’s existence theorem to the problem.References
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Additional Information
- Fengfan Xie
- Affiliation: College of Science, Wuhan University of Science and Technology, Wuhan 430065, People’s Republic of China
- MR Author ID: 780759
- Email: xiefengfan@wust.edu.cn
- Received by editor(s): October 26, 2018
- Received by editor(s) in revised form: April 3, 2019
- Published electronically: June 30, 2022
- Communicated by: Deane Yang
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 150 (2022), 4433-4445
- MSC (2020): Primary 52A40
- DOI: https://doi.org/10.1090/proc/14722
- MathSciNet review: 4470186