A generalization of the Brown–Halmos theorems for the unit ball

In this paper we generalize the classical theorems of Brown and Halmos about algebraic properties of Toeplitz operators to Bergman spaces over the unit ball in several complex variables. A key result, which is of independent interest, is the characterization of summable functions u on the unit ball...

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Bibliographic Details

Published in:	Advances in mathematics (New York. 1965) Vol. 404; p. 108411
Main Authors:	Le, Trieu, Tikaradze, Akaki
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 06.08.2022
Subjects:	Bergman space Brown-Halmos theorems Toeplitz operators Zero-product problems Bergman space 32A36 Zero-product problems Toeplitz operators Brown-Halmos theorems 47B35
ISSN:	0001-8708, 1090-2082
Online Access:	Get full text
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