A quasiconformal composition problem for the Q-spaces

Pekka Koskela, Jie Xiao, Yi Ru-Ya Zhang +1

Given a quasiconformal mapping $f:{\mathbb{R}}^n\to {\mathbb{R}}^n$ with $n\ge 2$, we show that (un-)boundedness of the composition operator ${\mathbf{C}}_f$ on the spaces $Q_{\alpha }({\mathbb{R}}^n)$ de…