This article is cited in 9 papers

Modulus inequalities for mappings with weighted bounded $(p,q)$-distortion

M. V. Tryamkin<sup>ab

a</sup> 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.

UDC: 517.518+517.54

Received: 03.02.2015

DOI: 10.17377/smzh.2015.56.616

 English version: Siberian Mathematical Journal, 2015, 56:6, 1114–1132

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