An off-diagonal estimate of Bergman kernels

Authors
Hedenmalm, H
Citation
H. Hedenmalm, An off-diagonal estimate of Bergman kernels, J MATH P A, 79(2), 2000, pp. 163-172
Citations number
5
Categorie Soggetti
Mathematics
Journal title
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN journal
00217824 → ACNP
Volume
79
Issue
2
Year of publication
2000
Pages
163 - 172
Database
ISI
SICI code
0021-7824(200002)79:2<163:AOEOBK>2.0.ZU;2-G
Abstract
For weights on the unit disk that are logarithmically subharmonic and repro ducing for the origin, an estimate from above and below is obtained for the Bergman kernel associated with the weight. In particular, that kernel is z ero free, and bounded from above by twice the unweighted Bergman kernel. (C ) 2000 Editions scientifiques et medicales Elsevier SAS.