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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 688–697
DOI: https://doi.org/10.17377/semi.2015.12.054 (Mi semr617) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Real, complex and functional analysis

On asymptotic curves and values in the theory of mappings with weighted bounded distortion

M. V. Tryamkin

Novosibirsk State University, Pirogova st. 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.054
Abstract: We show that a mapping with weighted bounded $(p,q)$-distortion can be extended to the set whose family of asymptotic curves has weighted modulus zero. We also state some results about asymptotic values, in particular, the counterpart to Iversen's theorem for mappings with weighted bounded $(n,n)$-distortion.
Keywords: mapping with weighted bounded $(p,q)$-distortion, asymptotic curve, asymptotic value, singularity, capacity, modulus.
Received August 15, 2015, published September 28, 2015
Document Type: Article
UDC: 517.54
MSC: 30C65
Language: English
Citation: M. V. Tryamkin, “On asymptotic curves and values in the theory of mappings with weighted bounded distortion”, Sib. Èlektron. Mat. Izv., 12 (2015), 688–697
Citation in format AMSBIB
\Bibitem{Try15}
\by M.~V.~Tryamkin
\paper On asymptotic curves and values in the theory of mappings with weighted bounded distortion
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 688--697
\mathnet{http://mi.mathnet.ru/semr617}
\crossref{https://doi.org/10.17377/semi.2015.12.054}
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