论文标题
各向异性强壮空间的PDE表征
A PDE Characterization of Anisotropic Hardy Spaces
论文作者
论文摘要
我们通过与一般连续群相关的抛物线代理耐性空间来识别各向异性耐寒空间$ h_a^p $的差异表征。这允许使用Calderon和Torchinsky的抛物线微分方程来定义$ H_A^P $。我们还提供了相对于线性变换的等效各向异性耐性空间的扩张的分类。
We obtain a differential characterization for the anisotropic Hardy space $H_A^p$ by identifying it with a parabolic Hardy space associated with a general continuous group. This allows $H_A^p$ to be defined using a parabolic differential equation of Calderon and Torchinsky. We also provide a classification of dilations corresponding to equivalent anisotropic Hardy spaces with respect to linear transformations.
