变量各向异性哈代空间上的傅里叶变换

Fourier Transform of Variable Anisotropic Hardy Spaces

本文在一个具有高度几何特征的哈代空间H^(p)(Θ)(0<p≤1)上讨论了傅里叶变换.此哈代空间是在R^(n)上的连续多尺度椭球覆盖Θ上定义的,且覆盖中椭球的形状可以随位置及其尺寸的变化而迅速发生变化.

We develop the Fourier transform of a highly geometric Hardy space H^(p)(Θ),for the full range 0<p≤1,which are constructed over continuous multi-level ellipsoid coverΘof R^(n) with high anisotropy in the sense that the ellipsoids can change shape rapidly from point to point and from level to level.