2000 character limit reached
Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces (2310.03604v3)
Published 5 Oct 2023 in math.FA and math.CV
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.