Achievable Cantorvals almost without reversed Kakeya conditions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915060695171072 |
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| author | Prus-Wiśniowski, Franciszek Ptak, Jolanta |
| author_facet | Prus-Wiśniowski, Franciszek Ptak, Jolanta |
| contents | Examples of achievable Cantorvals are constructed with reversed Kakeya conditions only on a set of asymptotic density zero which answers in positive the Problem 5.2 from Marchwicki and Miska (2021). Additionally, the Lebesgue measure of the boundaries of these Cantorvals is found to be zero which does not answer the still open problem of existence of achievable Cantorvals with boundaries of positive measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08768 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Achievable Cantorvals almost without reversed Kakeya conditions Prus-Wiśniowski, Franciszek Ptak, Jolanta Classical Analysis and ODEs 40A05, 11B05, 28A75 Examples of achievable Cantorvals are constructed with reversed Kakeya conditions only on a set of asymptotic density zero which answers in positive the Problem 5.2 from Marchwicki and Miska (2021). Additionally, the Lebesgue measure of the boundaries of these Cantorvals is found to be zero which does not answer the still open problem of existence of achievable Cantorvals with boundaries of positive measure. |
| title | Achievable Cantorvals almost without reversed Kakeya conditions |
| topic | Classical Analysis and ODEs 40A05, 11B05, 28A75 |
| url | https://arxiv.org/abs/2412.08768 |