Superposition operators in Zygmund and BMO spaces

被引：0
|
作者：
Bourdaud, G [1 ]
机构：
[1] Inst Math Jussieu, Equipe Anal Fonct, F-75252 Paris 05, France
来源：
FUNCTION SPACES, DIFFERENTIAL OPERATORS AND NONLINEAR ANALYSIS: THE HANS TRIEBEL ANNIVERSARY VOLUME | 2003年
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize the functions f for which the superposition operator T-f (g) := f o g acts in the Holder-Zygmund spaces B-infinity,infinity(s) (R-n) and in the spaces BMO(R-n), VMO(R-n), CMO(R-n). Further we study the continuity and the differentiability of T-f in those various function spaces.
引用
收藏
页码：59 / 74
页数：16
相关论文
共 50 条
  • [1] WEIGHTED SUPERPOSITION OPERATORS FROM ZYGMUND SPACES TO μ-BLOCH SPACES
    Jiang, Zhi Jie
    Wang, Ting
    Liu, Juan
    Luo, Ting
    Song, Ting
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (03) : 487 - 495
  • [2] Bilinear Calderon-Zygmund operators on Sobolev, BMO and Lipschitz spaces
    Wang, Dinghuai
    Zhou, Jiang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 12
  • [3] Bilinear Calderón-Zygmund operators on Sobolev, BMO and Lipschitz spaces
    Dinghuai Wang
    Jiang Zhou
    Journal of Inequalities and Applications, 2015
  • [4] Hardy Spaces, Regularized BMO Spaces and the Boundedness of Caldern-Zygmund Operators on Non-homogeneous Spaces
    The Anh Bui
    Duong, Xuan Thinh
    JOURNAL OF GEOMETRIC ANALYSIS, 2013, 23 (02) : 895 - 932
  • [5] Hardy Spaces, Regularized BMO Spaces and the Boundedness of Calderón–Zygmund Operators on Non-homogeneous Spaces
    The Anh Bui
    Xuan Thinh Duong
    Journal of Geometric Analysis, 2013, 23 : 895 - 932
  • [6] A new product of weighted differentiation and superposition operators between Hardy and Zygmund Spaces
    Kamal, A.
    Eissa, M. Hamza.
    AIMS MATHEMATICS, 2021, 6 (07): : 7749 - 7765
  • [7] Multilinear Caldern-Zygmund operators and their commutators with BMO functions in variable exponent Morrey spaces
    Wang, Wei
    Xu, Jingshi
    FRONTIERS OF MATHEMATICS IN CHINA, 2017, 12 (05) : 1235 - 1246
  • [8] Continuity of Calderon-Zygmund operators on the space BMO
    Yang, Qixiang
    REVISTA MATEMATICA COMPLUTENSE, 2007, 20 (02): : 523 - 554
  • [9] The Nonlinear Superposition Operators Between Zygmund-Type and Bloch-Type Spaces
    Liang, Yu-Xia
    Zhou, Ze-Hua
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (02)
  • [10] The Nonlinear Superposition Operators Between Zygmund-Type and Bloch-Type Spaces
    Yu-Xia Liang
    Ze-Hua Zhou
    Mediterranean Journal of Mathematics, 2019, 16
12345