Tb theorems for Triebel-Lizorkin spaces over special spaces of homogeneous type and their applications

被引：0

作者：

Yanchang Han

机构：

[1] South China Normal University,School of Mathematical Sciences

来源：

Collectanea mathematica | 2008年 / 59卷

关键词：

theorem; Triebel-Lizorkin spaces; Calderón reproducing formula; Plancherel-Pôlya inequalities; 42B25; 42B35; 46E35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The author first establishes theTb theorems for Triebel-Lizorkin spaces by the discrete Calderón type reproducing formula and the Plancherel-Pôlya characterization for the Triebel-Lizorkin spaces. As an application of theTb theorems, new characterizations of Triebel-Lizorkin spaces with minimum regularity and cancellation conditions are given over special spaces of homogeneous type.

引用

页码：63 / 78

页数：15

共 50 条

[1] Tb theorems for Triebel-Lizorkin spaces over special spaces of homogeneous type and their applications
Han, Yanchang
COLLECTANEA MATHEMATICA, 2008, 59 (01) : 63 - 78
[2] Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type
Yang, DC
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2003, 46 (02): : 187 - 199
[3] Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type
杨大春
ScienceinChina,SerA., 2003, Ser.A.2003 (02) : 187 - 199
[4] Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type
Dachun Yang
Science in China Series A: Mathematics, 2003, 46 : 187 - 199
[5] Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type
杨大春
Science China Mathematics, 2003, (02) : 187 - 199
[6] TRIEBEL-LIZORKIN SPACES ON SPACES OF HOMOGENEOUS TYPE
HAN, YS
STUDIA MATHEMATICA, 1994, 108 (03) : 247 - 273
[7] T1 theorems on Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and their applications
Yang, DC
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2003, 22 (01): : 53 - 72
[8] Riesz potentials in Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
Yang, DC
POTENTIAL ANALYSIS, 2003, 19 (02) : 193 - 210
[9] New characterizations of Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
Han, Yanchang
Xu, Yanbo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 305 - 318
[10] New characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type
Yan Chang Han
Acta Mathematica Sinica, English Series, 2009, 25 : 1787 - 1804

← 1 2 3 4 5 →