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International Mathematics Research Notices Advance Access originally published online on February 16, 2009
International Mathematics Research Notices (2009) 2009:2275-2302, doi:10.1093/imrp/rnp016 published on June 16, 2009
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© The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Minimal Microlocal Gevrey Regularity for "Sums of Squares"

Paolo Albano, Antonio Bove and Gregorio Chinni

Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40127 Bologna, Italy

Correspondence: Correspondence to be sent to: bove{at}dm.unibo.it

A theorem of minimal microlocal Gevrey regularity is proved for operators that are sums of squares of vector fields with real analytic coefficients, thus providing a microlocal version of a well-known theorem of Derridj and Zuily ("Régularité analytique et Gevrey d'opérateurs elliptiques dégénérés," Journal de Mathématiques Pures et Appliquées 52 (1973): 65–80).


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