Sevost’yanov Е. А. (2012) On the openness and discreteness of mappings with unbounded characteristic of quasiconformality. Ukrainian Mathematical Journal. Т. 63, № 8. pp. 1298-1305. ISSN 0041-5995.
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Abstract
The paper is devoted to the investigation of topological properties of space mappings. It is shown that orientation-
preserving mappings f WD ! Rn in a domain D � Rn; n � 2; which are more general than
mappings with bounded distortion, are open and discrete if a function Q corresponding to the control of
the distortion of families of curves under these mappings has slow growth in the domain f .D/; e.g., if
Q has finite mean oscillation at an arbitrary point y0 2 f .D/:
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA77 Mathematical Analysis |
| Divisions: | Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics |
| Depositing User: | Ірина Ігорівна Таргонська |
| Date Deposited: | 10 Nov 2014 11:10 |
| Last Modified: | 15 Aug 2015 13:02 |
| URI: | https://eprints.zu.edu.ua/id/eprint/13834 |
| ДСТУ 8302:2015: | Sevost’yanov Е. А. On the openness and discreteness of mappings with unbounded characteristic of quasiconformality. Ukrainian Mathematical Journal. 2012. Т. 63, № 8. pp. 1298-1305. |
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