Compact embedding derivatives of Hardy spaces into Lebesgue spaces

Abstract

We characterize the positive Borel measures such that the differentiation operator of order $n\in \mathbb{N}\cup \{0\}$ is compact from the Hardy space $H^p$ into $L^q(\mu )$, $0<p,q<\infty$.

Appears in Proc. Amer. Math. Soc. (2015)