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

2021/05/15 by Menovschikov, Alexander, Ukhlov, Alexander
#30C65 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.07256

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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