ANALYSIS SEMINAR

 

 

" Toeplitz Operators on Arveson and Dirichlet Spaces"

 

By

 

H. Turgay Kaptanoglu

Bilkent University

Department of Mathematics

 

 

 

Abstract: We define Toeplitz operators on all Dirichlet spaces on the unit ball of CN and develop their basic properties. We characterize bounded, compact, and Schatten-class Toeplitz operators with positive symbols in terms of Carleson measures and Berezin transforms.
Our results naturally extend those known for weighted Bergman spaces, a special case applies to the Arveson space, and we recover the classical Hardy-space Toeplitz operators in a limiting case; thus we unify the theory of Toeplitz operators on all these spaces.

(This is joint work with Daniel Alpay.).

 

 

Date:  Thursday, October 19, 2006

Time: 14.40

Place: Mathematics Seminar Room, SAZ-141