Mappings of finite distortion : boundary extensions in uniform domains

In this paper, we consider mappings on uniform domains with exponentially integrable distortion whose Jacobian determinants are integrable. We show that such mappings can be extended to the boundary and moreover these extensions are exponentially integrable with quantitative bounds. This extends previous results of Chang and Marshall [7] on analytic functions, Poggi-Corradini and Rajala [20] and Akkinen and Rajala [2] on mappings of bounded and finite distortion.peerReviewe