We prove Poletskii-type moduli inequalities for the two-index scale of weighted bounded $(q,p)$-distortion under minimal regularity. This implies, in particular, a positive solution to a question formulated in a Tengval's paper on the validity of Poletskii-type moduli inequalities for nonspherical condensers, for mappings of Sobolev classes with the least possible summability exponent.

中文翻译：

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加权有界（q，p）失真的W1n-1，loc-map的模不等式

我们证明了加权有界的两指标量表的Poletskii型模不等式 $（q，p）$-最小规律性下的失真。这尤其意味着对Tengval论文中提出的关于非球面冷凝器的Poletskii型模不等式的有效性问题的正解，以最小的可积指数对Sobolev类进行映射。