Generalized Cesàro operator acting on Hilbert spaces of analytic functions

Alejandro Mas, Noel Merchán, Elena de la Rosa

Let $\mathbb{D}$ denote the unit disc in $\mathbb{C}$. We define the generalized Cesàro operator as follows $$ C_ω(f)(z)=\int_0^1 f(tz)\left(\frac{1}{z}\int_0^z B^ω_t(u)\,du\right)…