Explicit universal bounds for squeezing functions of ($\mathbb{C}$-)convex domains
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911445407498240 |
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| author | Bharali, Gautam Nikolov, Nikolai |
| author_facet | Bharali, Gautam Nikolov, Nikolai |
| contents | We prove two separate lower bounds -- one for nondegenerate convex domains and the other for nondegenerate $\mathbb{C}$-convex (but not necessarily convex) domains -- for the squeezing function that hold true for all domains in $\mathbb{C}^n$, for a fixed $n\geq 2$, of the stated class. We provide explicit expressions in terms of $n$ for these estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08385 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Explicit universal bounds for squeezing functions of ($\mathbb{C}$-)convex domains Bharali, Gautam Nikolov, Nikolai Complex Variables 32F45 (Primary) 32F32 (Secondary) We prove two separate lower bounds -- one for nondegenerate convex domains and the other for nondegenerate $\mathbb{C}$-convex (but not necessarily convex) domains -- for the squeezing function that hold true for all domains in $\mathbb{C}^n$, for a fixed $n\geq 2$, of the stated class. We provide explicit expressions in terms of $n$ for these estimates. |
| title | Explicit universal bounds for squeezing functions of ($\mathbb{C}$-)convex domains |
| topic | Complex Variables 32F45 (Primary) 32F32 (Secondary) |
| url | https://arxiv.org/abs/2310.08385 |