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arXiv · 2505.15079

Carleson-type embeddings with closed range

Konstantin M. Dyakonov
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Abstract

We characterize the Carleson measures $\mu$ on the unit disk for which the image of the Hardy space $H^p$ under the corresponding embedding operator is closed in $L^p(\mu)$. In fact, a more general result involving $(p,q)$-Carleson measures is obtained. A similar problem is solved in the setting of Bergman spaces.

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Konstantin M. Dyakonov. 2025-05-21. Carleson-type embeddings with closed range. https://doi.org/10.1007/s00209-025-03881-w

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