A LIPSCHITZ ESTIMATE FOR BEREZIN'S OPERATOR CALCULUS

被引：28
作者：
Coburn, L. A. [1 ]
机构：
[1] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 01期
关键词：
D O I：
10.1090/S0002-9939-04-07476-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
F. A. Berezin introduced a general "symbol calculus" for linear operators on reproducing kernel Hilbert spaces. For the particular Hilbert space of Gaussian square-integrable entire functions on complex n-space, C(n), we obtain Lipschitz estimates for the Berezin symbols of arbitrary bounded operators. Additional properties of the Berezin symbol and extensions to more general reproducing kernel Hilbert spaces are discussed.
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页码：127 / 131
页数：5
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