Abstract

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 (“Regularite analytique et Gevrey d'operateurs elliptiques degeneres,” Journal de Mathematiques Pures et Appliquees 52 (1973): 65-80).

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