The Cesàro operator in weighted ${\ell }_1$ spaces

Angela A. Albanese, José Bonet, Werner J. Ricker

Unlike for ${\ell }_p$, $1<p\le \infty$, the discrete Cesàro operator $C$ does not map ${\ell }_1$ into itself. We identify precisely those weights $w$ such that $C$ does map ${\ell }_1(w)$…