Annales Academić Scientiarum Fennicć
Mathematica
Volumen 36, 2011, 531-536

A NOTE ON MAPPINGS OF FINITE DISTORTION: EXAMPLES FOR THE SHARP MODULUS OF CONTINUITY

Daniel Campbell and Stanislav Hencl

Charles University, Department of Mathematical Analysis
Sokolovská 83, 186 00 Prague 8, Czech Republic; danuk 'at' centrum.cz

Charles University, Department of Mathematical Analysis
Sokolovská 83, 186 00 Prague 8, Czech Republic; hencl 'at' karlin.mff.cuni.cz

Abstract. We construct a mapping with exponentially integrable distortion which attains a modulus of continuity by Onninen and Zhong, showing that it is sharp.

2010 Mathematics Subject Classification: Primary 30C65, 46E35.

Key words: Mapping of finite distortion, modulus of continuity.

Reference to this article: D. Campbell and S. Hencl: A note on mappings of finite distortion: Examples for the sharp modulus of continuity. Ann. Acad. Sci. Fenn. Math. 36 (2011), 531-536.

Full document as PDF file

doi:10.5186/aasfm.2011.3633