Embedding Hardy spaces $H^p$ into tent spaces and generalized integration operators

Abstract

Let $0 \lt p,s \lt \infty $, $n$ be a nonnegative integer and $\mu $ be a positive Borel measure on $\mathbb {D}$. Let $\mathcal {T}_{s}^{p,n}{(\mu )}$ be the space of all analytic functions $f $ such that $$\sup _{I\subseteq \partial \mathbb D}\frac {1}{