Schatten-p Class (0〈 p≤∞) Toeplitz Operators on Generalized Fock Spaces

In this paper, we discuss the Schatten-p class (0 〈 p≤∞ ) of Toeplitz operators on generalized Foek space with the symbol in positive Borel measure. It makes a great difference from other papers by using the estimates of the kernel and the weight together instead of separately estimating each other....

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Veröffentlicht in:数学学报:英文版 2015 (4), p.703-714
1. Verfasser: Lian Hua XIAO Xiao Feng WANG Jin XIA
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we discuss the Schatten-p class (0 〈 p≤∞ ) of Toeplitz operators on generalized Foek space with the symbol in positive Borel measure. It makes a great difference from other papers by using the estimates of the kernel and the weight together instead of separately estimating each other. We also get the equivalent conditions when a Toeplitz operator is in the Schatten-p class.
ISSN:1439-8516
1439-7617