Barrlund's distance function and quasiconformal maps
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866929358557413376 |
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| author | Fujimura, Masayo Mocanu, Marcelina Vuorinen, Matti |
| author_facet | Fujimura, Masayo Mocanu, Marcelina Vuorinen, Matti |
| contents | Answering a question about triangle inequality suggested by R. Li, A. Barrlund introduced a distance function which is a metric on a subdomain of ${\mathbb R}^n\,.$ We study this Barrlund metric and give sharp bounds for it in terms of other metrics of current interest. We also prove sharp distortion results for the Barrlund metric under quasiconformal maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_12475 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Barrlund's distance function and quasiconformal maps Fujimura, Masayo Mocanu, Marcelina Vuorinen, Matti Complex Variables 30C20, 30C15, 51M99 Answering a question about triangle inequality suggested by R. Li, A. Barrlund introduced a distance function which is a metric on a subdomain of ${\mathbb R}^n\,.$ We study this Barrlund metric and give sharp bounds for it in terms of other metrics of current interest. We also prove sharp distortion results for the Barrlund metric under quasiconformal maps. |
| title | Barrlund's distance function and quasiconformal maps |
| topic | Complex Variables 30C20, 30C15, 51M99 |
| url | https://arxiv.org/abs/1903.12475 |