Classification of anisotropic Triebel-Lizorkin spaces

被引：1
|
作者：
Koppensteiner, Sarah [1 ]
van Velthoven, Jordy Timo [2 ]
Voigtlaender, Felix [3 ]
机构：
[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
[2] Delft Univ Technol, Mekelweg 4,Bldg 36, NL-2628 CD Delft, Netherlands
[3] Catholic Univ Eichstatt Ingolstadt KU, Math Inst Machine Learning & Data Sci MIDS, Auf der Schanz 49, D-85049 Ingolstadt, Germany
来源：
MATHEMATISCHE ANNALEN | 2024年 / 389卷 / 02期
基金：
奥地利科学基金会;
关键词：
42B25; 42B35; 46E35; MOLECULAR DECOMPOSITIONS; BESOV;
D O I：
10.1007/s00208-023-02690-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper provides a characterization of expansive matrices A?GL(d,R) generating the same anisotropic homogeneous Triebel-Lizorkin space ?F(a)p,q(A)fora?R and p, q?(0,8]. It is shown that ?F(a)p,q(A)= ?F(a)p,q(B)if and only if the homogeneousquasi-norms?A,?Bassociated to the matrices A,B are equivalent, except for the case ?F(0)p,2=Lp with p?(1,8). The obtained results complement and extend the classification of anisotropic Hardy spaces Hp(A)= ?F0p,2(A),p?(0,1],in Bownik(Mem Am Math Soc 164(781):vi+122, 2003)
引用
收藏
页码：1883 / 1923
页数：41
相关论文
共 50 条
12345