Compact embedding derivatives of Hardy spaces into Lebesgue spaces

Peláez, José

doi:10.1090/proc12763

Compact embedding derivatives of Hardy spaces into Lebesgue spaces
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by José Ángel Peláez PDF

Proc. Amer. Math. Soc. 144 (2016), 1095-1107 Request permission

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 $L^q(\mu )$, $0<p,q<\infty$.

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