Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Anti-Wick quantization with symbols in $L^p$ spaces


Authors: Paolo Boggiatto and Elena Cordero
Journal: Proc. Amer. Math. Soc. 130 (2002), 2679-2685
MSC (2000): Primary 47G30, 35S05
Published electronically: February 4, 2002
MathSciNet review: 1900876
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47G30, 35S05

Retrieve articles in all journals with MSC (2000): 47G30, 35S05


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
Email: cordero@dm.unito.it

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06348-7
PII: S 0002-9939(02)06348-7
Keywords: Anti-Wick, pseudo-differential operators, Hilbert-Schmidt, trace class
Received by editor(s): April 12, 2001
Published electronically: February 4, 2002
Communicated by: David Tartakoff
Article copyright: © Copyright 2002 American Mathematical Society