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math.AP2022
On the boundary behavior of weak -quasiconformal mappings
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov
Let and be domains in the Euclidean space . We study the boundary behavior of weak -quasiconformal mappings, , $n-1<q\leq…
math.AP2021
Composition operators on Sobolev spaces and weighted moduli inequalities
Vladimir Gol'dshtein, Evgeny Sevost'yanov, Alexander Ukhlov
In this paper we study connections between composition operators on Sobolev spaces and mappings defined by -moduli inequalities (-capacity inequalities). We prove that weight…