Herz-type Triebel-Lizorkin Spaces, I

被引：0

作者：

Jing Shi XU Department of Mathematics Beijing Normal University Beijing P R China and Department of Mathematics Hunan Normal University Changsha P R China ^{[100875
,410081
]}

机构：

来源：

Acta Mathematica Sinica(English Series) | 2005年 / 21卷 / 03期

关键词：

Herz space; Triebel-Lizorkin space; Maximal function; Embedding; Multiplier; Lifting property;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

<正> Da Chun YANGDepartment of Mathematics, Beijing Normal University, Beijing 100875, P. R. China Let s ∈,0<β≤∞, 0qα,p Fβs （） and Kqα,p Fβs（）, which are the generalizations ofthe well-known Herz-type spaces and the inhomogeneous Triebel-Lizorkin spaces. Some properties onthese Herz-type Triebel-Lizorkin spaces are also given.

引用

页码：643 / 654

页数：12

共 9 条

[1]

APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES[J]. 徐景实,杨大春.Acta Mathematica Scientia. 2003(03)

[2] BOUNDEDNESS OF VECTOR-VALUED OPERATORS ON WEIGHTED HERZ SPACES [J].

Tang Lin and Yang DachunDepartment of MathematicsBeijing Normal UniversityBeijing PRCdcyangbun edu cn .

Approximation Theory and Its Applications, 2000, (02) :58-70

[3]

Herz-type Sobolev and Bessel potential spaces and their applications[J]. 陆善镇,杨大春.Science in China,Ser.A. 1997(02)

[4]

The weighted Herz-type Hardy space and its applications[J]. 陆善镇,杨大春.Science in China,Ser.A. 1995(06)

[5] Remarks on Herz-type Hardy spaces [J].

Miyachi, A .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2001, 17 (02) :339-360

[6] Boundedness of some sublinear operators on Herz spaces [J].

Li, XW ;

Yang, DC .

ILLINOIS JOURNAL OF MATHEMATICS, 1996, 40 (03) :484-501

[7] LIPSCHITZ SPACES AND BERNSTEINS THEOREM ON ABSOLUTELY CONVERGENT FOURIER TRANSFORMS [J].

HERZ, CS .

JOURNAL OF MATHEMATICS AND MECHANICS, 1968, 18 (04) :283-&

[8]

Construction and analysis of some convolution algebras[J] . Arne Beurling.Annales de l’institut Fourier . 1964 (2)

[9]

An elementary approach to Wiener‘s third Tauberian theorem for Euclidean n-spaces .2 Feichtinger,H. G. Proc. of Conf. at Cortona, 1984, Symposia Math . 1987

← 1 →