论文标题
关于$ l^p $估计的恒定等级条件的必要性
On the necessity of the constant rank condition for $L^p$ estimates
论文作者
论文摘要
我们考虑对适合具有非平凡核的线性操作员的椭圆$ l^p $ estimate的概括。 Schulenberger和Wilcox的经典结果（Ann。Mat。PuraAppl。（4）88：229-305，1971）表明，如果操作员的等级为恒定，则估计值将保持。我们证明了这种估计值的恒定等级条件的必要性。
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. (4) 88: 229-305, 1971) shows that if the operator has constant rank then the estimate holds. We prove necessity of the constant rank condition for such an estimate.
