变量各向异性哈代空间上的傅里叶变换  

Fourier Transform of Variable Anisotropic Hardy Spaces

作　　者：孙嘉伟 余安康 杨珍珍 李宝德[1] SUN Jiawei;YU Ankang;YANG Zhenzhen;LI Baode(College of Mathematics and Systems Science,Xinjiang University,Urumqi,Xinjiang,830046,P.R.China)

机构地区：[1]新疆大学数学与系统科学学院,乌鲁木齐新疆830046

出　　处：《数学进展》2022年第4期695-703,共9页Advances in Mathematics（China）

基　　金：Supported by NSFC (No.11861062);Xinjiang Training of Innovative Personnel Natural Science Foundation of China (No.2020D01C048)。

摘　　要：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.

关 键 词：各向异性哈代空间 傅里叶变换 连续椭球覆盖 

分 类 号：O174.1[理学—数学]