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arXiv · 2005.08909

An $H^p$ scale for complete Pick spaces

Alexandru Aleman·Michael Hartz·John E. McCarthy·Stefan Richter
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Abstract

We define by interpolation a scale analogous to the Hardy $H^p$ scale for complete Pick spaces, and establish some of the basic properties of the resulting spaces, which we call $\mathcal{H}^p$. In particular, we obtain an $\mathcal{H}^p-\mathcal{H}^q$ duality and establish sharp pointwise estimates for functions in $\mathcal{H}^p$.

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Alexandru Aleman, Michael Hartz, John E. McCarthy, Stefan Richter. 2020-05-18. An $H^p$ scale for complete Pick spaces. https://doi.org/10.4064/sm200514-18-9

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