4 papers · 2 filters
On the microlocal regularity of the analytic vectors for "sums of squares" of vector fields
Gregorio Chinni, Makhlouf Derridj
We prove via FBI-transform a result concerning the microlocal Gevrey regularity of analytic vectors for operators sums of squares of vector fields with real-valued real analytic co…
(Semi-)Global Analytic Hypoellipticity for a class of "sums of squares" which fail to be locally analytic hypoelliptic
Gregorio Chinni
The global and semi-global analytic hypoellipticity on the torus is proved for two classes of sums of squares operators, introduced in "Analytic Hypoellipticity for Sums of Squares…
On a Class of Globally Analytic Hypoelliptic Sums of Squares
Antonio Bove, Gregorio Chinni
We consider sums of squares operators globally defined on the torus. We show that if some assumptions are satisfied the operators are globally analytic hypoelliptic. The purpose of…
On the sharp Gevrey regularity for a generalization of the Métivier operator
Gregorio Chinni
The sharp Gevrey hypoellipticity is provided for the following generalization of the Métivier operator, "Non-hypoellipticité analytique pour $D_{x}^{2}+\left( x^{2} + y^{2}\right)D…