Data di Pubblicazione:
2023
Citazione:
On the theory of Bergman spaces on homogeneous Siegel domains / M. Calzi, M.M. Peloso. - In: COMPLEX ANALYSIS AND ITS SYNERGIES. - ISSN 2524-7581. - 9:4(2023), pp. 13.1-13.31. [10.1007/s40627-023-00122-w]
Abstract:
We consider mixed-norm Bergman spaces on homogeneous Siegel domains. In the literature, two different approaches have
been considered and several results seem difficult to be compared. In this paper, we compare the results available in the
literature and complete the existing ones in one of the two settings. The results we present are as follows: natural inclusions,
density, completeness, reproducing properties, sampling, atomic decomposition, duality, continuity of Bergman projectors,
boundary values, and transference.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Bergman spaces; Bergman projections; Homogeneous Siegel domains; Atomic decomposition; Boundary values
Elenco autori:
M. Calzi, M.M. Peloso
Link alla scheda completa:
Link al Full Text: