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arXiv · 1502.05527

Compact embedding derivatives of Hardy spaces into Lebesgue spaces

José Ángel Peláez
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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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José Ángel Peláez. 2015-02-19. Compact embedding derivatives of Hardy spaces into Lebesgue spaces. https://arxiv.org/abs/1502.05527

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