Properties of $\beta$-Cesàro operators on $\alpha$-Bloch space

Shankey Kumar, Swadesh Kumar Sahoo

For each $\alpha >0$, the $\alpha$-Bloch space is consisting of all analytic functions $f$ on the unit disk satisfying ${\sup }_{|z|<1}(1-|z{|}^2{)}^{\alpha }|f^{\prime }(z)|<+\infty .$ In this paper, we cons…