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math.AP2021★ 1 cited
Composition operators on Sobolev spaces, -mappings and weighted Sobolev inequalities
Alexander Menovschikov, Alexander Ukhlov
In this paper we give connections between mappings which generate bounded composition operators on Sobolev spaces and -mappings. On this base we obtain measure distortion proper…
math.AP2021
Composition operators on Hardy-Sobolev spaces and -quasiconformal mappings
Alexander Menovschikov, Alexander Ukhlov
In this paper we consider composition operators on Hardy-Sobolev spaces in connections with -quasiconformal mappings. Using the duality of Hardy spaces and -spaces we pro…