The miniowitz and vuorinen theorems for the mappings with non-bounded characteristics
Zhytomyr State University Library
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Relation |
http://eprints.zu.edu.ua/19290/
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Title |
The miniowitz and vuorinen theorems for the mappings with non-bounded characteristics
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Creator |
Севостьянов, Е. А.
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Subject |
Mathematical Analysis
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Description |
The paper is devoted to the study of classes of mappings with non-bounded characteristics of quasiconformality. We prove that the normal families of Q-mappings have the logarithmic order of growth in a neighborhood of a point. Moreover, we establish sufficient conditions for Q to ensure the normality of mappings f : D → Rn, n ≥ 2, which omit the points of a set Ef. The latter obeys c(Ef ) ≥ δ, δ > 0, where c(·) is an appropriate set function. |
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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/19290/1/Sevostyanov2015.pdf
Севостьянов, Е. А. (2015) The miniowitz and vuorinen theorems for the mappings with non-bounded characteristics. Israel journal of mathematics (209). pp. 527-545. |
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