The plan of this paper is to give an alternate proof of Kohn's subelliptic estimate for systems of N smooth complex vector fields on an open set of Rn, and to improve it in extending the result to perturbations by a first-order term. A pseudodifferential generalization will also be given.
A remark on Kohn's theorem on sums of squares of complex vector fields / Alberto Parmeggiani. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 404:A(2022), pp. 108378.1-108378.24. [10.1016/j.aim.2022.108378]
A remark on Kohn's theorem on sums of squares of complex vector fields
Alberto Parmeggiani
2022
Abstract
The plan of this paper is to give an alternate proof of Kohn's subelliptic estimate for systems of N smooth complex vector fields on an open set of Rn, and to improve it in extending the result to perturbations by a first-order term. A pseudodifferential generalization will also be given.File in questo prodotto:
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Parmeggiani-AdvMath2022.pdf
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