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October 14, 2026
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Capacity of rings and mappings generate embeddings of Sobolev spaces

Journal of Mathematical Analysis and Applications. 2024. Vol. 531. No. 1. Article 127826.
Menovshchikov A., Ukhlov A.

In this paper we give characterizations of mappings generate embeddings of Sobolev spaces in the terms of ring capacity inequalities. In addition we prove that such mappings are Lipschitz mappings in the sub-hyperbolic type capacitory metrics.

Research target: Mathematics
Language: English
DOI
Keywords: Sobolev spacesQuasiconformal mappings
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