Mappings of finite distortion of polynomial type
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2012
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929538762539008 |
|---|---|
| author | Guo, Changyu |
| author_facet | Guo, Changyu |
| contents | Suppose that $f: \bR^n\to\bR^n$ is a mapping of $K$-bounded $p$-mean distortion for some $p>n-1$. We prove the equivalence of the following properties of $f$: doubling condition for $J(x,f)$ over big balls centered at origin, boundedness of multiplicity function $N(f,\bR^n)$, polynomial type of $f$ and polynomial growth condition for $f$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1201_3800 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Mappings of finite distortion of polynomial type Guo, Changyu Complex Variables 30C65 Suppose that $f: \bR^n\to\bR^n$ is a mapping of $K$-bounded $p$-mean distortion for some $p>n-1$. We prove the equivalence of the following properties of $f$: doubling condition for $J(x,f)$ over big balls centered at origin, boundedness of multiplicity function $N(f,\bR^n)$, polynomial type of $f$ and polynomial growth condition for $f$. |
| title | Mappings of finite distortion of polynomial type |
| topic | Complex Variables 30C65 |
| url | https://arxiv.org/abs/1201.3800 |