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This article is cited in 3 scientific papers (total in 3 papers)
Modulus inequalities for mappings with weighted bounded $(p,q)$-distortion
M. V. Tryamkinab a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
We obtain some analogs of the Poletskiĭ and Väisää inequalities for mappings with $(\theta,1)$-weighted bounded $(p,q)$-distortion without the additional assumption of Luzin's $\mathcal N$-property.
Keywords:
mapping with weighted bounded $(p,q)$-distortion, Poletskiĭ function, modulus of a family of curves.
DOI:
https://doi.org/10.17377/smzh.2015.56.616
Full text:
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English version:
Siberian Mathematical Journal, 2015, 56:6, 1114–1132
Bibliographic databases:
UDC:
517.518+517.54 Received: 03.02.2015
Citation:
M. V. Tryamkin, “Modulus inequalities for mappings with weighted bounded $(p,q)$-distortion”, Sibirsk. Mat. Zh., 56:6 (2015), 1391–1415; Siberian Math. J., 56:6 (2015), 1114–1132
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/smj2722 http://mi.mathnet.ru/eng/smj/v56/i6/p1391
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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M. V. Tryamkin, “Otsenki na moduli semeistv krivykh dlya otobrazhenii s vesovym ogranichennym $(p,q)$-iskazheniem”, Vladikavk. matem. zhurn., 17:3 (2015), 65–74
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M. V. Tryamkin, “Boundary Correspondence for Homeomorphisms with Weighted Bounded $(p,q)$-Distortion”, Math. Notes, 102:4 (2017), 591–595
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S. K. Vodopyanov, “Basics of the quasiconformal analysis of a two-index scale of spatial mappings”, Siberian Math. J., 59:5 (2018), 805–834
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