Sobolev and Schatten estimates for the complex Green operator on spheres

被引：0
|
作者：
Kim, Elena [1 ]
Ogden, W. Jacob [2 ]
Reerink, Tommie [3 ]
Zeytuncu, Yunus E. [4 ]
机构：
[1] Pomona Coll, Dept Math, 610 N Coll Ave, Claremont, CA 91711 USA
[2] Univ Minnesota, Sch Math, 206 Church St SE, Minneapolis, MN 55455 USA
[3] MIT, Green Hall,350 Mem Dr, Cambridge, MA 02139 USA
[4] Univ Michigan, Dept Math & Stat, 2048 Evergreen Rd, Dearborn, MI 48128 USA
来源：
NEW YORK JOURNAL OF MATHEMATICS | 2020年 / 26卷
基金：
美国国家科学基金会;
关键词：
Kohn Laplacian; Schatten estimates; Sobolev estimates;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The complex Green operator G on CR manifolds is the inverse of the Kohn-Laplacian square(b) on the orthogonal complement of its kernel. In this note, we prove Schatten and Sobolev estimates for G on the unit sphere S2n-1 subset of C-n. We obtain these estimates by using the spectrum of square(b) and the asymptotics of the eigenvalues of the usual Laplace-Beltrami operator.
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页码：261 / 271
页数：11
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