On distortion of quasiregular mappings of the upper half plane
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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_ | 1866909535997788160 |
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| author | Fujimura, Masayo Vuorinen, Matti |
| author_facet | Fujimura, Masayo Vuorinen, Matti |
| contents | We prove a sharp result for the distortion of a hyperbolic type metric under $K$-quasiregular mappings of the upper half plane. The proof makes use of a new kind of Bernoulli inequality and the Schwarz lemma for quasiregular mappings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16966 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On distortion of quasiregular mappings of the upper half plane Fujimura, Masayo Vuorinen, Matti Complex Variables 30C60 We prove a sharp result for the distortion of a hyperbolic type metric under $K$-quasiregular mappings of the upper half plane. The proof makes use of a new kind of Bernoulli inequality and the Schwarz lemma for quasiregular mappings. |
| title | On distortion of quasiregular mappings of the upper half plane |
| topic | Complex Variables 30C60 |
| url | https://arxiv.org/abs/2411.16966 |