We consider quasiconformal self‐mappings of the disk or the half‐plane which are asymptotically conformal at the boundary. By means of univalent functions with asymptotically conformal extensions it is possible to give a new proof of results due to Carleson about the boundary correspondence. Our method gives additional results and estimates.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.