Extreme inequalities of general $L_p$ $μ$-projection body and general $L_p$ $μ$-centroid body
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916148042268672 |
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| author | Li, Chao Chen, Gangyi |
| author_facet | Li, Chao Chen, Gangyi |
| contents | In this paper, we introduce the concept of general $L_p$ projection body and general $L_p$ centroid body of general measures with positive homogeneity density function, and prove the corresponding extreme inequalities. Meanwhile, we also study their measure comparison problem and monotone inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07971 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Extreme inequalities of general $L_p$ $μ$-projection body and general $L_p$ $μ$-centroid body Li, Chao Chen, Gangyi Functional Analysis Metric Geometry In this paper, we introduce the concept of general $L_p$ projection body and general $L_p$ centroid body of general measures with positive homogeneity density function, and prove the corresponding extreme inequalities. Meanwhile, we also study their measure comparison problem and monotone inequalities. |
| title | Extreme inequalities of general $L_p$ $μ$-projection body and general $L_p$ $μ$-centroid body |
| topic | Functional Analysis Metric Geometry |
| url | https://arxiv.org/abs/2307.07971 |