Riemann-Stieltjes Operators between Vector-Valued Weighted Bloch Spaces

Abstract

Let X be a Banach space, we study Riemann-Stieltjes operators between X-valued weighted Bloch spaces. Some necessary and sufficient conditions for these operators induced by holomorphic functions to be weakly compact and weakly conditionally compact are given by certain growth properties of the inducing symbols and some structural properties of the abstract Banach space, which extend some previous results.