论文标题
在$ l^2 $的伪造式扩展中
On the $L^2$ boundedness of pseudo-multipliers for Hermite expansions
论文作者
论文摘要
我们提供了各种条件，让Hermite Pseudo-Multipliers在$ l^2（\ Mathbb {r}^n）$上限制。作为副产品，我们还可以在$ l^p（\ mathbb {r}^n）$上给出结果，以及为高斯度量设置的伪型杀伤结果的新结果。我们的关键工具之一是针对Hermite扩展的新型集成公式。
We give various conditions for Hermite pseudo-multipliers to be bounded on $L^2(\mathbb{R}^n)$. As a by-product we also give results on $L^p(\mathbb{R}^n)$, as well as new results for pseudo-multipliers for the Gaussian measure setting. One of our key tools is a new integration by-parts formula for Hermite expansions.
