ATOMIC DECOMPOSITION OF WEIGHTED TRIEBEL-LIZORKIN SPACES ON SPACES OF HOMOGENEOUS TYPE

被引：14

作者：

Li, Ji ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2010年 / 89卷 / 02期

关键词：

weighted Triebel-Lizorkin spaces; atomic decomposition; Calderon reproducing formula; spaces of homogeneous type; NORM INEQUALITIES;

D O I：

10.1017/S144678871000159X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain an atomic decomposition for weighted Triebel-Lizorkin spaces on spaces of homogeneous type, using the area function, the discrete Calderon reproducing formula and discrete sequence spaces.

引用

页码：255 / 275

页数：21

共 22 条

[1]

[Anonymous], 1971, Lecture Notes in Mathematics

[2]

Christ M., 1990, Colloq. Math., V61, P601

[3]

COIFMAN RR, 1974, STUD MATH, V51, P241

[4]

David G., 1985, REV MAT IBEROAM, V1, P1, DOI [10.4171/RMI/17, 10.4171/rmi/17]

[5]

Deng D., 2002, APPROX THEORY APPL, V18, P76

[6]

Deng D., 2009, Lecture Notes in Math, V1966

[7] A DISCRETE TRANSFORM AND DECOMPOSITIONS OF DISTRIBUTION SPACES [J].

FRAZIER, M ;

JAWERTH, B .

JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 93 (01) :34-170

[8] Wavelet Characterization of Weighted Spaces [J].

Garcia-Cuerva, J. ;

Martell, J. M. .

JOURNAL OF GEOMETRIC ANALYSIS, 2001, 11 (02) :241-264

[9]

Garcia-Cuerva J., 1985, N HOLLAND MATH STUDI, V104

[10]

HAN Y, 2008, ENDPOINT ESTIMATES S

← 1 2 3 →