论文标题
在本地耐力空间上运营商有限的必要取消条件
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces
论文作者
论文摘要
在这项工作中，我们提出了在$ h^p（\ mathbb {r}^n）$，$ 0 <p \ leq 1 $中的线性运算符连续性的必要取消条件，该条件将原子映射到伪分子中。我们的必要条件是根据$ t^{\ ast} $条件表示的，与最近在[3]中所证明的条件相同，因此为不均匀的calderón-zygmund类型运算符提供了必要且充分的取消条件
In this work we present necessary cancellation conditions for the continuity of linear operators in $h^p(\mathbb{R}^n)$, $0<p\leq 1$, that map atoms into pseudo-molecules. Our necessary condition, expressed in terms of the $T^{\ast}$ condition, is the same as the one recently proved sufficient in [3], thus providing a necessary and sufficient cancellation condition for the boundedness of inhomogeneous Calderón--Zygmund type operators
