Singularities of discrete open mappings with controlled p-module
Zhytomyr State University Library
View Archive Info| Field | Value | |
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http://eprints.zu.edu.ua/19291/
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| Title |
Singularities of discrete open mappings with controlled p-module
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| Creator |
Golberg, А.
Salimov, R. Sevost’yanov, Е. А. |
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| Subject |
Mathematical Analysis
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| Description |
We consider the generic discrete open continuous mappings in Rnunder which the perturbation of extremal lengths of curve collections is controlled integrally via � Q(x)ηp(|x−x0|)dm(x) with p ∈ (n−1, 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]. The main result is that, in contrast to the canonical classical case of holomorphic functions, the above mappings may only have removable singularities. |
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| Publisher |
The Hebrew University Magnes Press
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| Date |
2015
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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/19291/1/golberg2015.pdf
Golberg, А. and Salimov, R. and Sevost’yanov, Е. А. (2015) Singularities of discrete open mappings with controlled p-module. Journal d'Analyse Mathématique (127). pp. 303-328. ISSN 0021-7670 |
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