On quasiconformal dimension distortion for subsets of the real line
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910316455002112 |
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| author | Nissinen, Petteri Prause, István |
| author_facet | Nissinen, Petteri Prause, István |
| contents | Optimal quasiconformal dimension distortions bounds for subsets of the complex plane have been established by Astala. We show that these estimates can be improved when one considers subsets of the real line of arbitrary Hausdorff dimension. We present some explicit numerical bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_01291 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On quasiconformal dimension distortion for subsets of the real line Nissinen, Petteri Prause, István Complex Variables Optimal quasiconformal dimension distortions bounds for subsets of the complex plane have been established by Astala. We show that these estimates can be improved when one considers subsets of the real line of arbitrary Hausdorff dimension. We present some explicit numerical bounds. |
| title | On quasiconformal dimension distortion for subsets of the real line |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2402.01291 |