Herz-type Triebel-Lizorkin spaces, I

被引：20

作者：

Xu, JS

Yang, DC ^{[1
]}

机构：

[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

[2] Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China

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：

10.1007/s10114-004-0424-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let s is an element of R, 0 < beta <= infinity, 0 < q, p < infinity and -n/q < alpha. In this paper the authors introduce the Herz-type Triebel-Lizorkin spaces, (KqF beta B)-F-alpha,p(R-n) and (KqF beta B)-F-alpha,p (R-n), which are the generalizations of the well-known Herz-type spaces and the inhomogeneous Triebel-Lizorkin spaces. Some properties on these Herz-type Triebel-Lizorkin spaces are also given.

引用

页码：643 / 654

页数：12

共 18 条

[1]

Baernstein II A., 1985, MEMOIRS AM MATH SOC, V59

[2]

BETANCOR JJ, 2003, HERZ TYPE HARDY SPAC, V2, P301

[3]

BEURLING A., 1964, Ann. Inst. Fourier, V14, P1, DOI [10.5802/aif.172.1287, DOI 10.5802/AIF.172.1287]

[4] SOME NEW CLASSES OF HARDY-SPACES [J].

CHEN, YZ ;

LAU, KS .

JOURNAL OF FUNCTIONAL ANALYSIS, 1989, 84 (02) :255-278

[5]

FEICHTINGER H., 1987, S MATH, VXXIX, P267

[6]

FLETT TM, 1974, P LOND MATH SOC, V29, P538

[7]

GARCIACUERVA J, 1994, P LOND MATH SOC, V69, P605

[8]

GARCIACUERVA J, 1989, J LOND MATH SOC, V39, P499

[9]

HERZ CS, 1968, J MATH MECH, V18, P283

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

Li, XW ;

Yang, DC .

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

← 1 2 →