QUASI-ISOMETRIC MAPPINGS AND THE p-MODULI OF PATH FAMILIES
In this article, we study a connection between quasiisometric mappings of n-dimensional domains and the p-moduli of path families. In particular, we obtain explicit (and sharp) estimates for the distortion of the p-moduli of path families under K-quasi-isometric mappings.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2016-12-01
|
| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=3330 |
| Summary: | In this article, we study a connection between quasiisometric mappings of n-dimensional domains and the p-moduli of path families. In particular, we obtain explicit (and sharp) estimates for the distortion of the p-moduli of path families under K-quasi-isometric mappings. |
|---|---|
| ISSN: | 2306-3424 2306-3432 |