On weights which admit the reproducing kernel of Bergman type

Zbigniew Pasternak-Winiarski

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-14

Abstract:

In this paper we consider (1) the weights of integration for which the reproducing kernel of the Bergman type can be defined, i.e., the admissible weights, and (2) the kernels defined by such weights. It is verified that the weighted Bergman kernel has the analogous properties as the classical one. We prove several sufficient conditions and necessary and sufficient conditions for a weight to be an admissible weight. We give also an example of a weight which is not of this class. As a positive example we consider the weight μ ( z ) = ( Im z ) 2 defined on the unit disk in ℂ .

Date: 1992
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/15/939624.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/15/939624.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:939624

DOI: 10.1155/S0161171292000012

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().