Besov characteristic of a distribution

被引:0
作者
Vedel, Beatrice [1 ]
机构
[1] Univ Paris 12, Lab Anal & Math Appl, F-94010 Creteil, France
来源
REVISTA MATEMATICA COMPLUTENSE | 2007年 / 20卷 / 02期
关键词
Besov spaces; wavelet analysis; weighted Besov spaces; anisotropic Besov spaces; anisotropic wavelet analysis;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Besov characteristic of a distribution f is the function s(f) defined for 0 <= t < infinity by s(f) (t) = sup{s epsilon R; f epsilon B-1/t,1(s)(R-n)}. We give in this paper a criterion for a function Gamma defined on [0, +infinity] to be the Besov characteristic of a distribution. Generalizations of this criterion to particular weighted Besov spaces and to anisotropic Besov spaces are also given.
引用
收藏
页码:407 / 421
页数:15
相关论文
共 50 条
  • [31] Matrix-weighted Besov spaces
    Roudenko, S
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (01) : 273 - 314
  • [32] OPTIMAL EMBEDDINGS OF GENERALIZED BESOV SPACES
    Bashir, Zia
    Karadzhov, Georgi E.
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2010, 63 (06): : 799 - 806
  • [33] ON THE BESOV REGULARITY OF THE BIFRACTIONAL BROWNIAN MOTION
    Boufoussi, Brahim
    Nachit, Yassine
    PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2021, 41 (02): : 303 - 320
  • [34] BESOV-SPACES AND THE MULTIFRACTAL HYPOTHESIS
    EYINK, GL
    JOURNAL OF STATISTICAL PHYSICS, 1995, 78 (1-2) : 353 - 375
  • [35] On the Besov regularity of periodic Levy noises
    Fageot, Julien
    Unser, Michael
    Ward, John Paul
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2017, 42 (01) : 21 - 36
  • [36] Pseudodifferential operators on localized Besov spaces
    Moussai M.
    Allaoui S.E.
    Acta Mathematica Vietnamica, 2013, 38 (2) : 255 - 278
  • [37] Some Applications of Besov Spaces on Fractals
    Da Chun YANG Department of Mathematics
    ActaMathematicaSinica(EnglishSeries), 2005, 21 (05) : 1209 - 1218
  • [38] Best polynomial approximation in Besov spaces
    Acosta, FP
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 85 (02) : 315 - 323
  • [39] Besov Spaces, Multipliers and Univalent Functions
    Petros Galanopoulos
    Daniel Girela
    María J. Martín
    Complex Analysis and Operator Theory, 2013, 7 : 1081 - 1116
  • [40] On Some Properties of Superreflexive Besov Spaces
    Agadzhanov, A. N.
    DOKLADY MATHEMATICS, 2020, 101 (03) : 177 - 181