The harmonic and quasiconformal extension operators

Abstract

Abstract. Different aspects of the boundary value problem for quasiconformal mappings and Teichmüller spaces are expressed in a unified form by the use of the trace and extension operators. Moreover, some new results on harmonic and quasiconformal extensions are included.1991 Mathematics Subject Classification: 30C62.

Some estimates for normalized quasiconformal self-mappings of the unit disk

“…[4,5]). In this article, we obtain bounds for the partial derivative of a Douady-Earle extension that preserves the origin.…”