Toward the theory of ring Q-homeomophisms
Zhytomyr State University Library
View Archive Info| Field | Value | |
| Relation |
http://eprints.zu.edu.ua/13801/
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| Title |
Toward the theory of ring Q-homeomophisms
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| Creator |
Севостьянов, Е. А.
Рязанов, В. |
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| Subject |
Mathematical Analysis
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| Description |
We investigate classes of the so-called ring Q-homeomorphisms including, in particular, Q-homeomorphisms, various classes of homeomorphisms with finite length distortion, Sobolev’s classes etc. In terms of the majorant Q(x), we give a series of criteria for normality based on estimates of the distortion of the spherical distance under ring Q-homeomorphisms. In particular, it is shown that the class f of a domain D � Rn into Rn, n � 2, with h(Rn\f(D)) � � > 0, forms a normal family, if Q(x) has finite mean oscillation in D. We also prove normality of type whose degrees are not greater than n − 1 at every point x 2 D. The results are applicable, in particular, to mappings with finite length distortion and Sobolev’s classes. |
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| Date |
2008
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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/13801/1/05_Ryazanov.pdf
Севостьянов, Е. А. and Рязанов, В. (2008) Toward the theory of ring Q-homeomophisms. Israel Journal of Mathematics (168). pp. 101-118. |
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