JournalsrmiVol. 38, No. 2pp. 615–634

Localized regularity of planar maps of finite distortion

  • Olli Hirviniemi

    University of Helsinki, Finland

  • István Prause

    University of Eastern Finland, Joensuu, Finland

  • Eero Saksman

    University of Helsinki, Finland
Localized regularity of planar maps of finite distortion cover
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Abstract

In this article we study fine regularity properties for mappings of finite distortion. Our main theorems yield strongly localized regularity results in the borderline case in the class of maps of exponentially integrable distortion. Analogues of such results were known earlier in the case of quasiconformal mappings. Moreover, we study regularity for maps whose distortion has better than exponential integrability.

Cite this article

Olli Hirviniemi, István Prause, Eero Saksman, Localized regularity of planar maps of finite distortion. Rev. Mat. Iberoam. 38 (2022), no. 2, pp. 615–634

DOI 10.4171/RMI/1297