Dixmier classes on generalized Segal-Bargmann-Fock spaces

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• 作者：H茅l猫ne Bommier-Hato ; Miroslav Engli拧 ; El-Hassan Youssfi
• 关键词：Toeplitz operator ; Hankel operator ; Fock space ; Dixmier trace
• 刊名：Journal of Functional Analysis
• 出版年：15 February, 2014
• 年：2014
• 卷：266
• 期：4
• 页码：2096-2124
• 全文大小：388 K

文摘

We give criteria for the membership of Toeplitz operators and products of Hankel operators, with symbols of a certain type, in the Dixmier class, and formulas for their Dixmier trace, on a variety of weighted Segal-Bargmann-Fock spaces on the complex plane.