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Sampling measure on Bergman spaces.
- Source :
- Proceedings of the American Mathematical Society; Nov2023, Vol. 151 Issue 11, p4817-4825, 9p
- Publication Year :
- 2023
-
Abstract
- In this paper, we investigate the relationship between sampling measure \mu, Berezin transform \tilde {\mu } and r-averaging transform \widehat {\mu }_r on Bergman spaces. Compared with some results of Luecking [Amer. J. Math. 107 (1985), pp. 85–111], our results provide an equivalent description of sampling measures, which reveals the reason why 1/\hat {\mu }_r\in L^\infty or 1/\tilde {\mu }\in L^\infty does not make sure that \mu is a sampling measure on Bergman spaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 171104329
- Full Text :
- https://doi.org/10.1090/proc/16524