Anti-Wick quantization with symbols in $L^p$ spaces
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- by Paolo Boggiatto and Elena Cordero PDF
- Proc. Amer. Math. Soc. 130 (2002), 2679-2685 Request permission
Abstract:
We give a classification of pseudo-differential operators with anti-Wick symbols belonging to $L^p$ spaces: if $p=1$ the corresponding operator belongs to trace classes; if $1\leq p\leq 2$ we get Hilbert-Schmidt operators; finally, if $p<\infty$, the operator is compact. This classification cannot be improved, as shown by some examples.References
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Additional Information
- Paolo Boggiatto
- Affiliation: Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
- Email: boggiatto@dm.unito.it
- Elena Cordero
- Affiliation: Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
- MR Author ID: 629702
- Email: cordero@dm.unito.it
- Received by editor(s): April 12, 2001
- Published electronically: February 4, 2002
- Communicated by: David Tartakoff
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2679-2685
- MSC (2000): Primary 47G30, 35S05
- DOI: https://doi.org/10.1090/S0002-9939-02-06348-7
- MathSciNet review: 1900876