Generalized Anti-Wick Operators with Symbols in Distributional Sobolev spaces |
| |
| Authors: | Email author" target="_blank">Paolo?BoggiattoEmail author Elena?Cordero Karlheinz?Gr?chenig |
| |
| Institution: | (1) Dipartimento di Matematica, Università di Torino, Via C. Alberto 10, Torino, 10123, Italy;(2) Department of Mathematics, University of Connecticut, Storrs, CT 06269-3009, USA |
| |
| Abstract: | 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 L2 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]. |
| |
| Keywords: | 47G30 35S05 46E35 47B10 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
