On spatial mappings with integral restrictions on the characteristic
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
| Relation |
http://eprints.zu.edu.ua/14092/
|
|
| Title |
On spatial mappings with integral restrictions on the characteristic
|
|
| Creator |
Sevost’yanov, Е. А.
|
|
| Subject |
Mathematical Analysis
|
|
| Description |
For a given domain D � Rn, some families F of mappings f : D ! Rn, n � 2 are studied; such families are more general than the mappings with bounded distortion. It is proved that a family is equicontinuous if R1 �0 d� �[�−1(�)] 1 n−1 = 1, where the integral depends on each mapping f 2 F, � is a special function, and �0 > 0 is fixed. Under similar restrictions, removability results are obtained for isolated singularities of f. Also, analogs of the well-known Sokhotsky–Weierstrass and Liouville theorems are proved. |
|
| Date |
2012
|
|
| Type |
Article
PeerReviewed |
|
| Format |
text
|
|
| Language |
uk
english |
|
| Identifier |
http://eprints.zu.edu.ua/14092/1/St_Petersburg_Math_J_%28accepted%29.pdf
Sevost’yanov, Е. А. (2012) On spatial mappings with integral restrictions on the characteristic. Algebra i analiz, 24 (1). pp. 1-17. |
|