Mappings of finite distortion: boundary extensions in uniform domains
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2015
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| _version_ | 1866913543641628672 |
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| author | Akkinen, Tuomo Guo, Chang-Yu |
| author_facet | Akkinen, Tuomo Guo, Chang-Yu |
| contents | In this paper, we consider mappings on uniform domains with exponentially integrable distortion whose Jacobian determinants are integrable. We show that such mappings can be extended to the boundary and moreover these extensions are exponentially integrable with quantitative bounds. This extends previous results of Chang and Marshall on analytic functions, Poggi-Corradini and Rajala and Akkinen and Rajala on mappings of bounded and finite distortion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1510_05372 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Mappings of finite distortion: boundary extensions in uniform domains Akkinen, Tuomo Guo, Chang-Yu Complex Variables 30C65 In this paper, we consider mappings on uniform domains with exponentially integrable distortion whose Jacobian determinants are integrable. We show that such mappings can be extended to the boundary and moreover these extensions are exponentially integrable with quantitative bounds. This extends previous results of Chang and Marshall on analytic functions, Poggi-Corradini and Rajala and Akkinen and Rajala on mappings of bounded and finite distortion. |
| title | Mappings of finite distortion: boundary extensions in uniform domains |
| topic | Complex Variables 30C65 |
| url | https://arxiv.org/abs/1510.05372 |