A partial differential equation characterization of anisotropic Hardy spaces

被引：4

作者：

Bownik, Marcin ^{[1
]}

Wang, Li-An Daniel ^{[2
,3
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] Sam Houston State Univ, Dept Math & Stat, Huntsville, TX USA

[3] Amer Inst Res, Data Sci & Adv Analyt, Arlington, VA USA

来源：

MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 06期

关键词：

anisotropic Hardy spaces; continuous groups of dilations; parabolic Hardy spaces; HARMONIC-ANALYSIS; OPERATORS;

D O I：

10.1002/mana.202100368

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a differential characterization for the anisotropic Hardy space HAp$H_A<^>p$ by identifying it with a parabolic Hardy space associated with a general continuous group. This allows HAp$H_A<^>p$ 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.

引用

页码：2258 / 2275

页数：18

共 30 条

[1] Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part III: Harmonic analysis of elliptic operators [J].