Resumen de On the composition operator in RV [a, b]

Nelson Merentes

• We shall denote by $F$ the composition operator generated by a given function $f : \mathbb{R}\rightarrow\mathbb{R}$, acting on the space of functions of bounded Riesz $\Phi$-variation. In this paper we prove that the composition operator $F$ maps the space $RV_\Phi[a, b]$ into itself if and only if $f$ satisfies a local Lipschitz condition on $\mathbb{R}$.