Joint Spectra of Toeplitz Operators and Optimal Recovery of Analytic Functions

2012 ◽  
Vol 36 (1) ◽  
pp. 53-82 ◽  
Author(s):  
P. Gonzalez-Vera ◽  
M. I. Stessin
Keyword(s):  
Analytic Functions ◽  
Toeplitz Operators ◽  
Optimal Recovery

Toeplitz operators and arguments of analytic functions

2008 ◽  
Vol 344 (2) ◽  
pp. 353-380 ◽  
Author(s):  
Konstantin M. Dyakonov
Keyword(s):  
Analytic Functions ◽  
Toeplitz Operators

scholarly journals Commutants of Toeplitz operators on the ball and annulus

1995 ◽  
Vol 37 (3) ◽  
pp. 303-309 ◽  
Author(s):  
Željko Čučković ◽  
Dashan Fan
Keyword(s):  
Positive Integer ◽  
Bergman Space ◽  
Analytic Functions ◽  
Toeplitz Operators ◽  
Bergman Spaces ◽  
Volume Measure ◽  
Image Position

In this paper we study commutants of Toeplitz operators with polynomial symbols acting on Bergman spaces of various domains. For a positive integer n, let V denote the Lebesgue volume measure on ℂn. If ω is a domain in ℂn, then the Bergman space is defined to be the set of all analytic functions from ω into ℂ such that

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