Poletski˘ı Type Inequality for Mappings from the Orlicz-Sobolev Classes
Zhytomyr State University Library
View Archive Info| Field | Value | |
| Relation |
http://eprints.zu.edu.ua/23253/
|
|
| Title |
Poletski˘ı Type Inequality for Mappings from the Orlicz-Sobolev Classes
|
|
| Creator |
Sevost’yanov, Е. А.
Golberg, А. Salimov, R. |
|
| Subject |
Mathematical Analysis
|
|
| Description |
We study the distortion of p-module under non-homeomorphic mappings f from Orlicz-Sobolev classes W1,ϕ loc and established a strengthened form of Poletskii’s inequality. This inequality was known for quasiregular mappings and conformal moduli. In addition, our estimates involve the p-outer dilatation (instead of the classical inner dilatation) and the multiplicity function. In the case of the planar domains, the condition f ∈ W1,ϕ loc can be replaced by f ∈ W1,1 loc . |
|
| Date |
2015
|
|
| Type |
Article
PeerReviewed |
|
| Format |
text
|
|
| Language |
uk
english |
|
| Identifier |
http://eprints.zu.edu.ua/23253/1/golberg2015.pdf
Sevost’yanov, Е. А. and Golberg, А. and Salimov, R. (2015) Poletski˘ı Type Inequality for Mappings from the Orlicz-Sobolev Classes. Complex Analysis and Operator Theory. pp. 1-21. |
|