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On the theory of Bergman spaces on homogeneous Siegel domains.
- Source :
- Complex Analysis & its Synergies; 10/31/2023, Vol. 9 Issue 4, p1-31, 31p
- Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- HOMOGENEOUS spaces
BERGMAN spaces
Subjects
Details
- Language :
- English
- ISSN :
- 25247581
- Volume :
- 9
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Complex Analysis & its Synergies
- Publication Type :
- Academic Journal
- Accession number :
- 173602851
- Full Text :
- https://doi.org/10.1007/s40627-023-00122-w