Embedding properties of Besov-type spaces

被引：28

作者：

Yuan, Wen ^{[1
,2
]}

Haroske, Dorothee D. ^{[2
]}

Skrzypczak, Leszek ^{[3
]}

Yang, Dachun ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Univ Jena, Inst Math, D-07737 Jena, Germany

[3] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

APPLICABLE ANALYSIS | 2015年 / 94卷 / 02期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

wavelet characterization; embedding; Besov-type space; Secondary: 42B35; Primary: 46E35; MORREY SPACES; BASES;

D O I：

10.1080/00036811.2014.895331

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors study embeddings of Besov-type spaces , and obtain necessary and sufficient conditions. Moreover, the authors also consider situations or , and can finally cover some cases where is replaced by .

引用

页码：318 / 340

页数：23

共 35 条

[1]

[Anonymous], 2010, Theory of Function Spaces

[2]

[Anonymous], 1997, LONDON MATH SOC STUD

[3] BIORTHOGONAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].

COHEN, A ;

DAUBECHIES, I ;

FEAUVEAU, JC .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1992, 45 (05) :485-560

[4] Some new tent spaces and duality theorems for fractional Carleson measures and Qα(Rn) [J].

Dafni, G ;

Xiao, J .

JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 208 (02) :377-422

[5]

Essén M, 2000, INDIANA U MATH J, V49, P575

[6] On Sobolev and Franke-Jawerth embeddings of smoothness Morrey spaces [J].

Haroske, Dorothee D. ;

Skrzypczak, Leszek .

REVISTA MATEMATICA COMPLUTENSE, 2014, 27 (02) :541-573

[7] Embeddings of Besov-Morrey spaces on bounded domains [J].

Haroske, Dorothee D. ;

Skrzypczak, Leszek .

STUDIA MATHEMATICA, 2013, 218 (02) :119-144

[8] Continuous Embeddings of Besov-Morrey Function Spaces [J].

Haroske, Dorothee D. ;

Skrzypczak, Leszek .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (07) :1307-1328

[9] SEMILINEAR HEAT-EQUATIONS AND THE NAVIER-STOKES EQUATION WITH DISTRIBUTIONS IN NEW FUNCTION-SPACES AS INITIAL DATA [J].

KOZONO, H ;

YAMAZAKI, M .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1994, 19 (5-6) :959-1014

[10]

Li P., ARXIV12120766

← 1 2 3 4 →