Composition operators on Hardy-Sobolev spaces and $BMO$-quasiconformal mappings

Published 15 May 2021 in math.AP | (2105.07256v1)

Abstract: In this paper we consider composition operators on Hardy-Sobolev spaces in connections with $BMO$-quasiconformal mappings. Using the duality of Hardy spaces and $BMO$-spaces we prove that $BMO$-quasiconformal mappings generate bounded composition operators from Hardy-Sobolev spaces to Sobolev spaces.

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