Normal Families of Discrete Open Mappings with Controlled p-Module
Zhytomyr State University Library
View Archive Info| Field | Value | |
| Relation |
http://eprints.zu.edu.ua/23251/
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| Title |
Normal Families of Discrete Open Mappings with Controlled p-Module
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| Creator |
Sevost’yanov, Е. А.
Golberg, А. Salimov, R. |
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| Subject |
Mathematical Analysis
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| Description |
We consider the generic discrete open mappings in Rn under which the perturbation of extremal lengths of curve collections is controlled integrally via � Q(x)ηp(|x − x0|)dm(x) with n − 1 < p < n, where Q is a measurable function on Rn and � r2 r1 η(r)dr ≥ 1 for any η on a given interval [r1, r2]. We prove that the family of all open discrete mappings of above type is normal under appropriate restrictions on the majorant Q. |
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| Date |
2016
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
uk
english |
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| Identifier |
http://eprints.zu.edu.ua/23251/1/conm13533.pdf
Sevost’yanov, Е. А. and Golberg, А. and Salimov, R. (2016) Normal Families of Discrete Open Mappings with Controlled p-Module. сontemporary mathtmatics (667). pp. 83-103. |
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