On a Stević-Sharma operator from Hardy spaces to the logarithmic Bloch spaces

Abstract

Let $H(\mathbb{D})$ denote the space of all analytic functions on the unit disc $\mathbb{D}$ of the complex plane ℂ, $\psi_{1},\psi_{2}\in H(\mathbb{D}) $ , and φ be an analytic self-map of $\mathbb{D}$ . In this paper, we characterize the boundedness and compactness of a Stević-Sharma operator $T _{\psi_{1},\psi_{2},\varphi}$ from Hardy spaces $H^{p}$ (with $1\leq p<\infty$ ) to the logarithmic Bloch spaces $\mathcal{B}_{\mathrm{log}}$ .