Mappings of finite distortion: Sharp Orlicz-conditions

Janne Kauhanen; Pekka Koskela; Jan Malý; Jani Onninen; Xiao Zhong

doi:10.4171/rmi/372

JournalsrmiVol. 19, No. 3pp. 857–872

Mappings of finite distortion: Sharp Orlicz-conditions

Janne Kauhanen
University of Jyväskylä, Finland
- zbMATH Open
Pekka Koskela
University of Jyväskylä, Finland
- MathSciNet
- zbMATH Open
Jan Malý
Charles University, Praha, Czech Republic
- MathSciNet
- zbMATH Open
Jani Onninen
Syracuse University, USA
- MathSciNet
- zbMATH Open
Xiao Zhong
University of Jyväskylä, Finland
- zbMATH Open

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Abstract

We establish continuity, openness and discreteness, and the condition $(N)$ for mappings of finite distortion under minimal integrability assumptions on the distortion.

Cite this article

Janne Kauhanen, Pekka Koskela, Jan Malý, Jani Onninen, Xiao Zhong, Mappings of finite distortion: Sharp Orlicz-conditions. Rev. Mat. Iberoam. 19 (2003), no. 3, pp. 857–872

DOI 10.4171/RMI/372