JournalszaaVol. 22, No. 4pp. 767–778

Absolutely Continuous Functions of Several Variables and Quasiconformal Mappings

  • Stanislav Hencl

    Charles University, Prague, Czech Republic
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Abstract

We prove that functions with bounded n-variation and n-absolutely continuous functions of n-variables in the sense introduced previously by the author [Fund. Math. 173 (2002) 175--189] are stable under quasiconformal mappings. The class of quasiconformal mappings is the best possible since every homeomorphism which induces a bounded operator between BVn spaces is a quasiconformal mapping.

Cite this article

Stanislav Hencl, Absolutely Continuous Functions of Several Variables and Quasiconformal Mappings. Z. Anal. Anwend. 22 (2003), no. 4, pp. 767–778

DOI 10.4171/ZAA/1172