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arXiv · 2310.03604

Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces

Carlo Bellavita·Eugenio Alberto Dellepiane
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Abstract

In this paper we study embeddings between de Branges-Rovnyak spaces $H(b)$ and harmonically weighted Dirichlet spaces $\mathcal{D}(\mu)$ in terms of the boundary spectrum of $b$ and the support of the measure $\mu$, by using elementary reproducing kernel estimates. We completely characterize the embedding between the model spaces $K_u$ and the local Dirichlet spaces $\mathcal{D}_\zeta$, and we discuss some applications.

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Carlo Bellavita, Eugenio Alberto Dellepiane. 2023-10-05. Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces. https://arxiv.org/abs/2310.03604

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