Besov spaces associated with Dunkl's operator

被引：7
|
作者：
Bouguila, Raouya
Lazhari, Mohamed Nejib
Assal, Miloud [1 ]
机构：
[1] Fac Sci Bizerte, Dept Math, Zarzouna 7021, Tunisia
[2] Fac Sci Tunis, Dept Math, Tunis 1080, Tunisia
[3] Campus Univ Mrezka Nabeul, Dept Math, IPEIN, Nabeul 8000, Tunisia
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2007年 / 18卷 / 08期
关键词：
Dunkl operator; Besov type spaces; Delsarte type development; Calderon-Zygmund type formula;
D O I：
10.1080/10652460701359065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to investigate the harmonic analysis associated with Dunkl's operator on the real line to introduce a Besov type spaces generalizing the classical one. Different characterizations of these spaces are given using generalized translation operator and also by mean modulus of continuity.
引用
收藏
页码：545 / 557
页数：13
相关论文
共 50 条
  • [1] Besov-type spaces for the Dunkl operator on the real line
    Kamoun, Lotfi
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 199 (01) : 56 - 67
  • [2] COMMUTATORS FOR MULTIPLIERS ON BESOV DUNKL SPACES
    Hassani, Sallam
    Sifi, Mohamed
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (03): : 729 - 741
  • [3] Besov-Type Spaces Associated With Dunkl Wavelet Transform on R
    Verma, Randhir Kumar
    Prasad, Akhilesh
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
  • [4] Boundedness of Dunkl-Riesz transforms on Dunkl-Besov spaces
    Lee, Ming-Yi
    Lin, Chin-Cheng
    Ooi, Keng Hao
    ILLINOIS JOURNAL OF MATHEMATICS, 2024, 68 (04)
  • [5] A New Characterization of the Besov Spaces Associated with Hermite Operator
    Huang, Jizheng
    Mo, Huixia
    FRONTIERS OF MATHEMATICS, 2023, 18 (04): : 863 - 882
  • [6] A New Characterization of the Besov Spaces Associated with Hermite Operator
    Jizheng Huang
    Huixia Mo
    Frontiers of Mathematics, 2023, 18 : 863 - 882
  • [7] Besov spaces in operator theory
    Peller, V. V.
    RUSSIAN MATHEMATICAL SURVEYS, 2024, 79 (01) : 1 - 52
  • [8] Besov and Hardy Spaces Associated with the Schrodinger Operator on the Heisenberg Group
    Gong, Ruming
    Li, Ji
    Song, Liang
    JOURNAL OF GEOMETRIC ANALYSIS, 2014, 24 (01) : 144 - 168
  • [9] Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator
    Guliyev, Emin V.
    Mammadov, Yagub Y.
    ABSTRACT AND APPLIED ANALYSIS, 2010,
  • [10] Weighted Dunkl transform inequalities and application on radial Besov spaces
    Abdelkefi C.
    Jemai A.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2013, 59 (2) : 199 - 220
12345