Volterra type operators from weighted Hardy spaces to Bloch spaces

Abstract

Let $H(\mathbb{D})$ denote the space of all analytic functions on the unitdisk $\mathbb{D}$ of $\mathbb{C}$. In this paper we consider the following Volterra type operator$$J_g(f)(z)=ın{t}_0^{z}f(\xi )g^{\prime }(\xi )d\xi ,fınH(\mathbb{D}),zın\mathbb{D}.$$The boundedness and compactness of the operator $J_g$ from theweighted Hardy space to a Bloch space are studied.