Generalized quasidisks and conformality II
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arXiv
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| Format: | Preprint |
| Published: |
2013
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| _version_ | 1866916435562856448 |
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| author | Guo, Changyu |
| author_facet | Guo, Changyu |
| contents | We introduce a weaker variant of the concept of three point property, which is equivalent to a non-linear local connectivity condition introduced in [12], sufficient to guarantee the extendability of a conformal map f from the unit disk onto a domain to the entire plane as a homeomorphism of locally exponentially integrable distortion. Sufficient conditions for extendability to a homeomorphism of locally p-integrable distortion are also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1311_1967 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Generalized quasidisks and conformality II Guo, Changyu Complex Variables 30C62, 30C65 We introduce a weaker variant of the concept of three point property, which is equivalent to a non-linear local connectivity condition introduced in [12], sufficient to guarantee the extendability of a conformal map f from the unit disk onto a domain to the entire plane as a homeomorphism of locally exponentially integrable distortion. Sufficient conditions for extendability to a homeomorphism of locally p-integrable distortion are also given. |
| title | Generalized quasidisks and conformality II |
| topic | Complex Variables 30C62, 30C65 |
| url | https://arxiv.org/abs/1311.1967 |