Data di Pubblicazione:
2024
Citazione:
Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces / C. Bellavita, E. Dellepiane. - In: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. - ISSN 1747-6933. - (2024), pp. 1-19. [Epub ahead of print] [10.1080/17476933.2023.2298837]
Abstract:
In this paper we study embeddings between de Branges-Rovnyak spaces $ H(b) $ H(b) and harmonically weighted Dirichlet spaces $ \mathcal {D}(\mu ) $ 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 $ Ku and the local Dirichlet spaces $ \mathcal {D}_\zeta $ D zeta, and we discuss some applications.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Model spaces; de Branges-Rovnyak spaces; Dirichlet spaces; boundary spectrum
Elenco autori:
C. Bellavita, E. Dellepiane
Link alla scheda completa: