Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 1, Pages 90–94 (Mi ivm9074)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Asymptotic curves and asymptotic values for mappings with weighted bounded $(p,q)$-distortion

M. V. Tryamkin

Chair of Higher Mathematics, Novosibirsk State University, 2 Pirogov str., Novosibirsk, 630090 Russia
Full-text PDF (186 kB) Citations (2)
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Abstract: We prove that a mapping with weighted bounded $(p,q)$-distortion can be extended by continuity to a set whose family of asymptotic curves has modulus zero. We also establish a counterpart to Iversen's theorem for a mapping with weighted bounded $(n,n)$-distortion.
Keywords: mapping with weighted bounded $(p,q)$-distortion, capacity, modulus, asymptotic curve, asymptotic value.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00552
Ministry of Education and Science of the Russian Federation НШ-2263.2014.1
Presented by the member of Editorial Board: S. K. Vodopyanov
Received: 31.07.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 1, Pages 76–80
DOI: https://doi.org/10.3103/S1066369X16010102
Bibliographic databases:
Document Type: Article
UDC: 517.547+517.518
Language: Russian
Citation: M. V. Tryamkin, “Asymptotic curves and asymptotic values for mappings with weighted bounded $(p,q)$-distortion”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 1, 90–94; Russian Math. (Iz. VUZ), 60:1 (2016), 76–80
Citation in format AMSBIB
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\paper Asymptotic curves and asymptotic values for mappings with weighted bounded $(p,q)$-distortion
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\pages 90--94
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\vol 60
\issue 1
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  • https://www.mathnet.ru/eng/ivm/y2016/i1/p90
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:63
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