论文标题
关于Hardy-Morrey空间中强烈奇异的Calderón-Zygmund操作员的连续性的注释
A note on continuity of strongly singular Calderón-Zygmund operators in Hardy-Morrey spaces
论文作者
论文摘要
在本说明中，我们解决了强烈的calderón-Zygmund操作员在Hardy-Morrey空间上的连续性$ \ MATHCAL {HM} _ {Q}^λ（\ Mathbb {r}^n）$，假设在相关的核上具有弱的积分条件。落入此范围的重要例子是hörmander类上的假差操作员$ ops^{m} _ {σ，μ}（\ m athbb {r}^n）$，带有$ 0 <σ\ leq 1 $，$ 0 \ leq leq 1 $，$ 0 \ leqleqμ<1 $，$，$，$μ\ leq leq leq- $ nequq $ nequq $/2 $/2 $/2。
In this note we address the continuity of strongly singular Calderón-Zygmund operators on Hardy-Morrey spaces $\mathcal{HM}_{q}^λ(\mathbb{R}^n)$, assuming weaker integral conditions on the associated kernel. Important examples that falls into this scope are pseudodifferential operators on the Hörmander classes $OpS^{m}_{σ,μ}(\mathbb{R}^n)$ with $0<σ\leq 1$, $0 \leq μ<1$, $μ\leq σ$ and $m\leq -n(1-σ)/2$.
