Details

Autor(en) / Beteiligte

• Äkkinen, Tuomo
• Guo, Chang-Yu

Titel

Mappings of finite distortion: boundary extensions in uniform domains

Ist Teil von

• Annali di matematica pura ed applicata, 2017-02, Vol.196 (1), p.65-83

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2017

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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 (Am J Math 107(5):1015–1033, 1985 ) on analytic functions, Poggi-Corradini and Rajala (J Lond Math Soc (2) 76(2):531–544, 2007 ) and Äkkinen and Rajala [ 2 ] on mappings of bounded and finite distortion.