On the necessity of the constant rank condition for Lp estimates

被引：14

作者：

Guerra, Andre ^{[1
]}

Raita, Bogdan ^{[2
]}

机构：

[1] Univ Oxford, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England

[2] Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany

来源：

COMPTES RENDUS MATHEMATIQUE | 2020年 / 358卷 / 9-10期

关键词：

THEOREM;

D O I：

10.5802/crmath.105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a generalization of the elliptic L-p-estimate suited for linear operators with non-trivial kernels. A classical result of Schulenberger and Wilcox (Ann. Mat. Pura Appl. 88 (1971), no. 1, p. 229-305) shows that if the operator has constant rank then the estimate holds. We prove necessity of the constant rank condition for such an estimate.

引用

页码：1091 / 1095

页数：5

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