On the $m$th-order Affine Pólya-Szegö Principle
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908389959794688 |
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| author | Langharst, Dylan Roysdon, Michael Zhao, Yiming |
| author_facet | Langharst, Dylan Roysdon, Michael Zhao, Yiming |
| contents | An affine Pólya-Szegö principle for a family of affine energies, with equality condition characterization, is demonstrated. In particular, this recovers, as special cases, the $L^p$ affine Pólya-Szegö principles due to Cianchi, Lutwak, Yang and Zhang, and subsequently Haberl, Schuster and Xiao. Various applications of this new Pólya-Szegö principle are shown. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02232 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the $m$th-order Affine Pólya-Szegö Principle Langharst, Dylan Roysdon, Michael Zhao, Yiming Functional Analysis Metric Geometry Primary: 46E30, 46E35 Secondary: 52A20 An affine Pólya-Szegö principle for a family of affine energies, with equality condition characterization, is demonstrated. In particular, this recovers, as special cases, the $L^p$ affine Pólya-Szegö principles due to Cianchi, Lutwak, Yang and Zhang, and subsequently Haberl, Schuster and Xiao. Various applications of this new Pólya-Szegö principle are shown. |
| title | On the $m$th-order Affine Pólya-Szegö Principle |
| topic | Functional Analysis Metric Geometry Primary: 46E30, 46E35 Secondary: 52A20 |
| url | https://arxiv.org/abs/2409.02232 |