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