Cesaro operators on the Hardy spaces of the half-plane

Athanasios G. Arvanitidis, Aristomenis G. Siskakis

In this article we study the Cesàro operator $$\mathcal{C}(f)(z)=\frac{1}{z}{\int }_0^{z}f(\zeta )d\zeta ,$$ and its companion operator $\mathcal{T}$ on Hardy spaces of the upper half pla…