Affine Orlicz Pólya–Szegö Principles and Their Equality Cases

Youjiang Lin Chongqing Technology and Business University Dongmeng Xi Shanghai University; Fudan University

Convex and Discrete Geometry mathscidoc:2112.40002

International Mathematics Research Notices, (9), 7159-7204, 2021.1
The conjecture about the Orlicz Pólya–Szegö principle posed in [42] is proved. The cases of equality are characterized in the affine Orlicz Pólya–Szegö principle with respect to Steiner symmetrization and Schwarz spherical symmetrization.
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@inproceedings{youjiang2021affine,
  title={Affine Orlicz Pólya–Szegö Principles and Their Equality Cases},
  author={Youjiang Lin, and Dongmeng Xi},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20211226210101702649889},
  booktitle={International Mathematics Research Notices},
  number={9},
  pages={7159-7204},
  year={2021},
}
Youjiang Lin, and Dongmeng Xi. Affine Orlicz Pólya–Szegö Principles and Their Equality Cases. 2021. In International Mathematics Research Notices. pp.7159-7204. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20211226210101702649889.
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