J. Mashreghi

The Cesàro operator on local Dirichlet spaces

The family of Cesàro operators $σ_n^α$, $n \geq 0$ and $α\in [0,1]$, consists of finite rank operators on Banach spaces of analytic functions on the open unit disc. In this work, we investigate these operators as they act on the local Dirichlet spaces $\mathcal{D}_ζ$. It is well-established that they provide a linear a...