Extensions of polynomial plank covering theorems
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910458890420224 |
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| author | Glazyrin, Alexey Karasev, Roman Polyanskii, Alexandr |
| author_facet | Glazyrin, Alexey Karasev, Roman Polyanskii, Alexandr |
| contents | We prove a complex polynomial plank covering theorem for not necessarily homogeneous polynomials. As the consequence of this result, we extend the complex plank theorem of Ball to the case of planks that are not necessarily centrally symmetric and not necessarily round. We also prove a weaker version of the spherical polynomial plank covering conjecture for planks of different widths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_10886 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Extensions of polynomial plank covering theorems Glazyrin, Alexey Karasev, Roman Polyanskii, Alexandr Metric Geometry Complex Variables Functional Analysis 52C17, 52C35, 51M16, 32A08, 90C23 We prove a complex polynomial plank covering theorem for not necessarily homogeneous polynomials. As the consequence of this result, we extend the complex plank theorem of Ball to the case of planks that are not necessarily centrally symmetric and not necessarily round. We also prove a weaker version of the spherical polynomial plank covering conjecture for planks of different widths. |
| title | Extensions of polynomial plank covering theorems |
| topic | Metric Geometry Complex Variables Functional Analysis 52C17, 52C35, 51M16, 32A08, 90C23 |
| url | https://arxiv.org/abs/2211.10886 |