JAWERTH-FRANKE EMBEDDINGS OF HERZ-TYPE BESOV AND TRIEBEL-LIZORKIN SPACES

被引：5

作者：

Drihem, Douadi ^{[1
]}

机构：

[1] Msila Univ, Dept Math, Lab Funct Anal & Geometry Spaces, POB 166, Msila 28000, Algeria

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2019年 / 61卷 / 02期

关键词：

Besov spaces; Triebel-Lizorkin spaces; Herz spaces; Jawerth-Franke embedding; DECOMPOSITIONS; INTERPOLATION; BOUNDEDNESS;

D O I：

10.7169/facm/1777

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the Jawerth-Franke embeddings of Herz-type Besov and Triebel-Lizorkin spaces. Moreover, we obtain the Jawerth-Franke embeddings of Besov and Triebel-Lizorkin spaces equipped with power weights, and we prove the necessity of some assumptions on the parameters. As an application we present new embeddings between Besov and Herz spaces.

引用

页码：207 / 226

页数：20

共 27 条

[1]

Bennett C., 1988, Interpolation of operators

[2]

Drihem D., 2017, Function Spaces and Inequalities. Springer Proceedings in Mathematics and Statistics

[3] Complex interpolation of Herz-type Triebel-Lizorkin spaces [J].

Drihem, Douadi .

MATHEMATISCHE NACHRICHTEN, 2018, 291 (13) :2008-2023

[4] EMBEDDINGS PROPERTIES ON HERZ-TYPE BESOV AND TRIEBEL-LIZORKIN SPACES [J].

Drihem, Douadi .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (02) :439-460

[5] ON THE SPACES FSPQ OF TRIEBEL-LIZORKIN TYPE - POINTWISE MULTIPLIERS AND SPACES ON DOMAINS [J].

FRANKE, J .

MATHEMATISCHE NACHRICHTEN, 1986, 125 :29-68

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

FRAZIER, M ;

JAWERTH, B .

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

[7]

Garcia-Cuerva J., 1985, WEIGHTED NORM INEQUA

[8]

Haroske DD, 2007, CH CRC RES NOTES MAT, V437, P3

[9] Interpolation of Herz-type Hardy spaces [J].

Hernández, E ;

Yang, DC .

ILLINOIS JOURNAL OF MATHEMATICS, 1998, 42 (04) :564-581

[10] SOME OBSERVATIONS ON BESOV AND LIZORKIN-TRIEBEL SPACES [J].

JAWERTH, B .

MATHEMATICA SCANDINAVICA, 1977, 40 (01) :94-104

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