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.

引用

页码：261 / 271

页数：11

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