On Boundary Homeomorphisms of Trans-quasiconformal Maps of the Disk
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چکیده
This paper studies boundary homeomorphisms of trans-quasiconformal maps of the unit disk. Motivated by Beurling-Ahlfors’s well-known quasisymmetry condition, we introduce the “scalewise” and “pointwise” distortions of a circle homeomorphism and formulate conditions in terms of each that guarantee the existence of a David extension to the disk. These constructions are also used to obtain extension results for maps with subexponentially integrable dilatation as well as BMO-quasiconformal maps of the disk.
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تاریخ انتشار 2007