A criterion of weak compactness for operators on subspaces of Orlicz spaces
To appear in J. Funct. Spaces and Appl.
math.FA↗
arXiv subjects
Luis Rodriguez-Piazzaa
Publications and source records attributed to Luis Rodriguez-Piazzaa.
Compact composition operators on $H^2$ and Hardy-Orlicz spaces
We compare the compactness of composition operators on $H^2$ and on Orlicz-Hardy spaces $H^Ψ$. We show in particular that exists an Orlicz function $Ψ$ such that $H^{3+\eps} \subseteq H^Ψ\subseteq H^3$ for every $\eps >0$, and a composition operator $C_ϕ$ which is compact on $H^3$ and on $H^{3+\eps}$, but not compact on $H^Ψ$.
math.FA↗