A remark on Kohn's theorem on sums of squares of complex vector fields

被引：0

作者：

Parmeggiani, Alberto ^{[1
]}

机构：

[1] Univ Bologna, Dept Math, Piazza Porta S Donato 5, I-40126 Bologna, Italy

来源：

ADVANCES IN MATHEMATICS | 2022年 / 404卷

关键词：

Subelliptic estimate; Hypoellipticity; Sums of squares of complex vector fields; Melin's inequality; HYPOELLIPTICITY;

D O I：

10.1016/j.aim.2022.108378

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 R-n, and to improve it in extending the result to perturbations by a first-order term. A pseudodifferential generalization will also be given. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：24

共 11 条

[1] HYPOELLIPTICITY AND NONHYPOELLIPTICITY FOR SUMS OF SQUARES OF COMPLEX VECTOR FIELDS
Bove, Antonio
Mughetti, Marco
Tartakoff, David S.
ANALYSIS & PDE, 2013, 6 (02): : 371 - 445
[2] LOSS OF DERIVATIVES FOR SYSTEMS OF COMPLEX VECTOR FIELDS AND SUMS OF SQUARES
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[3] Gevrey regularity for a class of sums of squares of monomial vector fields
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ADVANCES IN MATHEMATICS, 2020, 373
[4] On the Gevrey regularity for sums of squares of vector fields, study of some models
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[5] Analytic Hypoellipticity for a New Class of Sums of Squares of Vector Fields in R3
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[6] COMPLEX VECTOR FIELDS AND HYPOELLIPTIC PARTIAL DIFFERENTIAL OPERATORS
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[7] SUBELLIPTICITY OF SOME COMPLEX VECTOR FIELDS RELATED TO THE WITTEN LAPLACIAN
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Xu, Chao Jiang
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (7-8) : 2709 - 2724
[8] Solvability of planar complex vector fields with homogeneous singularities
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COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2017, 62 (10) : 1447 - 1473
[9] On the Subellipticity of Some Hypoelliptic Quasihomogeneous Systems of Complex Vector Fields
Derridj, M.
Helffer, B.
COMPLEX ANALYSIS: SEVERAL COMPLEX VARIABLES AND CONNECTIONS WITH PDE THEORY AND GEOMETRY, 2010, : 109 - +
[10] On some systems of real or complex vector fields and their related Laplacians
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ANALYSIS AND GEOMETRY IN SEVERAL COMPLEX VARIABLES, 2017, 681 : 85 - 124

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