Cesáro operator of order \(\alpha\) on Bloch type spaces

In this article, we study the following operators \(\begin{aligned} \mathcal{C}^{\alpha }f(z)=\frac{(\alpha +1)}{z^{\alpha +1}}\int _{0}^{z}f(w)\frac{(z-w)^{\alpha }}{(1-w)^{\alpha +1}}dw, \end{aligned}\) $$\begin{array}{c}\hfill {\mathcal{C}}^{\alpha }f(z)=\frac{(\alpha +1)}{z^{\alpha +1}}{\int }_0^{z}f(w)\frac{{(z-w)}^{\alpha }}{{(1-w)}^{\alpha +1}}dw,\end{array}$$ where \(\alpha >-1\) $\alpha >-1$ and f is analytic on the unit disc. The boundedness property of \(\mathcal{C}^{\alpha }\) ${\mathcal{C}}^{\alpha }$ between the Bloch type spaces are discussed. Further, we find \(\mathcal{C}^{\alpha }\) ${\mathcal{C}}^{\alpha }$ is bounded from the Besov space into the Bloch type space.