An RKHS approach to the indefinite Schwarz-Pick inequality on the bidisk
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914985531146240 |
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| author | Kojin, Kenta |
| author_facet | Kojin, Kenta |
| contents | In this short note, we will give a generalization of the indefinite Schwarz-Pick inequality due to Seto [8]. Our approach is based on a connection between complex geometry and the geometry of reproducing kernel Hilbert spaces, which was crucially used in our previous work [6]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17596 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An RKHS approach to the indefinite Schwarz-Pick inequality on the bidisk Kojin, Kenta Functional Analysis Complex Variables In this short note, we will give a generalization of the indefinite Schwarz-Pick inequality due to Seto [8]. Our approach is based on a connection between complex geometry and the geometry of reproducing kernel Hilbert spaces, which was crucially used in our previous work [6]. |
| title | An RKHS approach to the indefinite Schwarz-Pick inequality on the bidisk |
| topic | Functional Analysis Complex Variables |
| url | https://arxiv.org/abs/2410.17596 |