Interpolation of Morrey-Campanato and related smoothness spaces

被引：0

作者：

YUAN Wen ^{[1
]}

SICKEL Winfried ^{[2
]}

YANG DaChun ^{[1
]}

机构：

[1] School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems,Ministry of Education

[2] Mathematisches Institut, Friedrich-Schiller-Universitt Jena

来源：

Science China(Mathematics) | 2015年 / 58卷 / 09期

关键词：

Morrey space; Campanato space; Besov-type space; Triebel-Lizorkin-type space; real and complex interpolation; ±-method of interpolati;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method, the ±-method and the Peetre-Gagliardo method, are studied in such a framework. Special emphasis is given to the quasi-Banach case and to the interpolation property.

引用

页码：1835 / 1908

页数：74

共 35 条

[1]

Littlewood-Paley theory on metric spaces with non doubling measures and its applications[J]. TAN ChaoQiang,LI Ji.Science China（Mathematics）. 2015(05)

[2]

Hardy spaces Hp over non-homogeneous metric measure spaces and their applications[J]. FU Xing,LIN Hai Bo,YANG Da Chun,YANG Dong Yong.Science China（Mathematics）. 2015(02)

[3] Complex Interpolation of Weighted Besov and Lizorkin–Triebel Spaces [J].

Winfried SICKEL ;

Leszek SKRZYPCZAK ;

Jan VYBRAL .

Acta Mathematica Sinica(English Series), 2014, 30 (08) :1297-1323

[4]

Orlicz-Hardy spaces and their duals[J]. NAKAI Eiichi,SAWANO Yoshihiro.Science China（Mathematics）. 2014(05)

[5]

Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces[J]. XU JingShi.Science China（Mathematics）. 2014(02)

[6]

Equivalent boundedness of Marcinkiewicz integrals on non-homogeneous metric measure spaces[J]. LIN HaiBo,YANG DaChun.Science China（Mathematics）. 2014(01)

[7]

Continuous Embeddings of Besov-Morrey Function Spaces[J]. Dorothee D. HAROSKE,Leszek SKRZYPCZAK.Acta Mathematica Sinica. 2012(07)

[8]

A Note on Besov-Morrey Spaces and Triebel-Lizorkin-Morrey Spaces[J]. Yoshihiro SAWANO.Acta Mathematica Sinica（English Series）. 2009(08)

[9]

BMO FUNCTIONS IN SPACES OF HOMOGENEOUS TYPE[J]. 龙瑞麟,杨乐.Science in China,Ser.A. 1984(07)

[10] Embedding properties of Besov-type spaces [J].

Yuan, Wen ;

Haroske, Dorothee D. ;

Skrzypczak, Leszek ;

Yang, Dachun .

APPLICABLE ANALYSIS, 2015, 94 (02) :318-340

← 1 2 3 4 →