Generalized anti-wick operators with symbols in distributional Sobolev spaces

被引：60

作者：

Boggiatto, P

Cordero, E

Gröchenig, K

机构：

[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2004年 / 48卷 / 04期

基金：

奥地利科学基金会;

关键词：

anti-wick operator; time-frequency localization operator; modulation space; Sobolev space; Schatten class; convolution relation;

D O I：

10.1007/s00020-003-1244-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalized Anti-Wick operators are introduced as a class of pseudodifferential operators which depend on a symbol and two different window functions. Using symbols in Sobolev spaces with negative smoothness and windows in so-called modulation spaces, we derive new conditions for the boundedness on L-2 of such operators and for their membership in the Schatten classes. These results extend and refine results contained in [20], [10], [5], [4], and [14].

引用

页码：427 / 442

页数：16

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