Volterra type operators from weighted Hardy spaces to Bloch spaces

Abstract

Let $H(\Bbb D)$ denote the space of all analytic functions on the unitdisk $\Bbb D$ of $\Bbb C$. In this paper we consider the following Volterra type operator$$J_g(f)(z)=ınt_0^zf(\xi)g'(\xi)\,d\xi,\quad fın H(\Bbb D),\; zın\Bbb D.$$The boundedness and compactness of the operator $J_g$ from theweighted Hardy space to a Bloch space are studied.