Schatten Class Toeplitz Operators on the Bergman Space

Namita Das

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-16

Abstract:

We have shown that if the Toeplitz operator on the Bergman space belongs to the Schatten class , then , where is the Berezin transform of , and is the normalized area measure on the open unit disk . Further, if then and . For certain subclasses of , necessary and sufficient conditions characterizing Schatten class Toeplitz operators are also obtained.

Date: 2009
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2009/921324.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2009/921324.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:921324

DOI: 10.1155/2009/921324

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 ().