Toeplitz Operators with Essentially Radial Symbols

Roberto C. Raimondo

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-14

Abstract:

For Topelitz operators with radial symbols on the disk, there are important results that characterize boundedness, compactness, and its relation to the Berezin transform. The notion of essentially radial symbol is a natural extension, in the context of multiply-connected domains, of the notion of radial symbol on the disk. In this paper we analyze the relationship between the boundary behavior of the Berezin transform and the compactness of 𠑇 𠜙 when 𠜙 ∈ ð ¿ 2 ( Ω ) is essentially radial and Ω is multiply-connected domains.

Date: 2012
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2012/492690.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2012/492690.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:492690

DOI: 10.1155/2012/492690

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 ().