Besov-type spaces for the Dunkl operator on the real line

被引:13
|
作者
Kamoun, Lotfi [1 ]
机构
[1] Fac Sci Monastir, Dept Math, Monastir 5019, Tunisia
关键词
Dunkl operator; Dunkl transform; Bochner-Riesz means; partial Dunkl integrals; Besov-Dunkl spaces;
D O I
10.1016/j.cam.2005.06.054
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we shall introduce functions spaces as subspaces of L-p that we call Besov-Dunkl spaces. We provide characterizations of these spaces involving Bochner-Riesz means associated to the Dunkl operator and partial Dunkl integrals. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:56 / 67
页数:12
相关论文
共 50 条
  • [1] Besov-Type Spaces on Rd and Integrability for the Dunkl Transform
    Abdelkefi, Chokri
    Anker, Jean-Philippe
    Sassi, Feriel
    Sifi, Mohamed
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5
  • [2] Besov-type spaces for the κ-Hankel wavelet transform on the real line
    Pathak, Ashish
    Pandey, Shrish
    [J]. CONCRETE OPERATORS, 2021, 8 (01): : 114 - 124
  • [3] Characterization of Function Spaces for the Dunkl Type Operator on the Real Line
    Samir Kallel
    [J]. Potential Analysis, 2014, 41 : 143 - 169
  • [4] Characterization of Function Spaces for the Dunkl Type Operator on the Real Line
    Kallel, Samir
    [J]. POTENTIAL ANALYSIS, 2014, 41 (01) : 143 - 169
  • [5] Variable Besov-type Spaces
    Zouheyr ZEGHAD
    Douadi DRIHEM
    [J]. Acta Mathematica Sinica,English Series, 2023, (04) : 553 - 583
  • [6] BESOV-TYPE SPACES AND DIFFERENCES
    Hovemann, M.
    Sickel, W.
    [J]. EURASIAN MATHEMATICAL JOURNAL, 2020, 11 (01): : 25 - 56
  • [7] Variable Besov-type Spaces
    Zeghad, Zouheyr
    Drihem, Douadi
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (04) : 553 - 583
  • [8] Variable Besov-type Spaces
    Zouheyr Zeghad
    Douadi Drihem
    [J]. Acta Mathematica Sinica, English Series, 2023, 39 : 553 - 583
  • [9] Besov spaces associated with Dunkl's operator
    Bouguila, Raouya
    Lazhari, Mohamed Nejib
    Assal, Miloud
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (08) : 545 - 557
  • [10] Embedding properties of Besov-type spaces
    Yuan, Wen
    Haroske, Dorothee D.
    Skrzypczak, Leszek
    Yang, Dachun
    [J]. APPLICABLE ANALYSIS, 2015, 94 (02) : 318 - 340