Modulus estimates of semirings with applications to boundary extension problems
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909469443620864 |
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| author | Golberg, Anatoly Sugawa, Toshiyuki Vuorinen, Matti |
| author_facet | Golberg, Anatoly Sugawa, Toshiyuki Vuorinen, Matti |
| contents | In our previous paper [GSV2020], we proved that the complementary components of a ring domain in $\mathbb{R}^n$ with large enough modulus may be separated by an annular ring domain and applied this result to boundary correspondence problems under quasiconformal mappings. In the present paper, we continue this work and investigate boundary extension problems for a larger class of mappings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05073 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modulus estimates of semirings with applications to boundary extension problems Golberg, Anatoly Sugawa, Toshiyuki Vuorinen, Matti Complex Variables 30C65, 26B35, 30C75, 31B15 In our previous paper [GSV2020], we proved that the complementary components of a ring domain in $\mathbb{R}^n$ with large enough modulus may be separated by an annular ring domain and applied this result to boundary correspondence problems under quasiconformal mappings. In the present paper, we continue this work and investigate boundary extension problems for a larger class of mappings. |
| title | Modulus estimates of semirings with applications to boundary extension problems |
| topic | Complex Variables 30C65, 26B35, 30C75, 31B15 |
| url | https://arxiv.org/abs/2501.05073 |