Carleson measure and Volterra type operators on weighted BMOA spaces

Let μ be a nonnegative Borel measure on the unit disk {\mathbb{D}}. In this paper, we investigate measures μ such that the weighted {\mathrm{BMOA}} spaces are embedded boundedly or compactly into tent-type spaces {\mathcal{T}_{\varphi}^{\infty}(\mu)}. As an application, we characterize the boundedness and compactness of Volterra integral operators on the weighted {\mathrm{BMOA}} space.

Generalized integration operators from Bloch type spaces to weighted BMOA Spaces

In this paper, we consider a generalized integration operator