Abstract
Given a general Hörmander’s operator in an open set , where are smooth real vector fields in , , and given also an open, relatively compact set with , and , , such that the coefficients of are in and satisfies a -Sobolev estimate in , our aim is to establish local estimates reflecting local domination of ordinary derivatives by powers of , in . As an application, we give a direct proof of the -regularity of any -vector of .
Citation
Makhlouf Derridj. "Local estimates for Hörmander's operators with Gevrey coefficients and application to the regularity of their Gevrey vectors." Tunisian J. Math. 1 (3) 321 - 345, 2019. https://doi.org/10.2140/tunis.2019.1.321
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