Absolutely Continuous Functions of Several Variables and Quasiconformal Mappings
Copyright policy )Absolutely Continuous Functions of Several Variables and Quasiconformal Mappings
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.
- Charles University Czech Republic
Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, functions of bounded variation, absolute continuity, quasiconformal maps, Absolutely continuous real functions of several variables, functions of bounded variation
Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, functions of bounded variation, absolute continuity, quasiconformal maps, Absolutely continuous real functions of several variables, functions of bounded variation
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