Summing Carleson measure on radial weighted Begman spaces

Abstract

For $\mu$ is a positive Borel measure on $\mathbb{D}$, The $r$ summing Carleson embdedding $J_{\mu }:A_w^p\to L^q(\mu )$ are characterized in this paper, some conditions which ensure that the Carleson embedding for $J_{\mu }:A_w^p\to L^q(\mu )$ is $r$ summing are obtained for all $0<p,q<\infty .$