Lower order perturbation and global analytic vectors for a class of globally analytic hypoelliptic operators

Lower order perturbation and global analytic vectors for a class of globally analytic hypoelliptic operators

In this work we return to the class of globally analytic hypoelliptic Hörmander’s operators defined on the NN-dimensional torus introduced by Cordaro and Himonas and prove that if PP is any operator in this class, then a perturbation of PP by an analytic pseudodifferential operator with degree small...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2016-12, Vol.144 (12), p.5159-5170
Hauptverfasser: Braun Rodrigues, N., Chinni, G., Cordaro, P. D., Jahnke, M. R.
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B. ANALYSIS
Research article
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container_end_page 5170
container_issue 12
container_start_page 5159
container_title Proceedings of the American Mathematical Society
container_volume 144
creator Braun Rodrigues, N.
Chinni, G.
Cordaro, P. D.
Jahnke, M. R.
description In this work we return to the class of globally analytic hypoelliptic Hörmander’s operators defined on the NN-dimensional torus introduced by Cordaro and Himonas and prove that if PP is any operator in this class, then a perturbation of PP by an analytic pseudodifferential operator with degree smaller than the subelliptic index of PP remains globally analytic hypoelliptic. We also study the Gevrey regularity of the Gevrey vectors for such a class and at the end we also show that Cordaro and Himonas’s result can be extended to a similar class of operators now defined in a product of compact Lie group by a compact manifold.
doi_str_mv 10.1090/proc/13178
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Research article
title Lower order perturbation and global analytic vectors for a class of globally analytic hypoelliptic operators
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