Embedding properties of Besov-type spaces

被引:25
|
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
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
收藏
页码:318 / 340
页数:23
相关论文
共 50 条
  • [1] Embedding properties of weighted Besov-type spaces
    Yuan, Wen
    Haroske, Dorothee D.
    Skrzypczak, Leszek
    Yang, Dachun
    ANALYSIS AND APPLICATIONS, 2015, 13 (05) : 507 - 553
  • [2] SOME PROPERTIES OF VARIABLE BESOV-TYPE SPACES
    Drihem, Douadi
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2015, 52 (02) : 193 - 221
  • [3] BESOV-TYPE SPACES AND DIFFERENCES
    Hovemann, M.
    Sickel, W.
    EURASIAN MATHEMATICAL JOURNAL, 2020, 11 (01): : 25 - 56
  • [4] Variable Besov-type Spaces
    Zouheyr ZEGHAD
    Douadi DRIHEM
    Acta Mathematica Sinica,English Series, 2023, (04) : 553 - 583
  • [5] Variable Besov-type Spaces
    Zeghad, Zouheyr
    Drihem, Douadi
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (04) : 553 - 583
  • [6] Variable Besov-type Spaces
    Zouheyr Zeghad
    Douadi Drihem
    Acta Mathematica Sinica, English Series, 2023, 39 : 553 - 583
  • [7] REALIZATIONS OF THE HOMOGENEOUS BESOV-TYPE SPACES
    Bensaid, Fares
    Moussai, Madani
    METHODS AND APPLICATIONS OF ANALYSIS, 2019, 26 (04) : 349 - 370
  • [8] The Haar system in Besov-type spaces
    Yuan, Wen
    Sickel, Winfried
    Yang, Dachun
    STUDIA MATHEMATICA, 2020, 253 (02) : 129 - 162
  • [9] Sharp embeddings of Besov-type spaces
    Gurka, Petr
    Opic, Bohumir
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 208 (01) : 235 - 269
  • [10] Analytic Besov-type spaces and oscillation
    Zorboska, Nina
    COMPLEX AND HARMONIC ANALYSIS, 2007, : 179 - 188