Hardy-Sobolev spaces and their multipliers

被引：0
|
作者：
GuangFu Cao
Li He
机构：
[1] Guangzhou University,Department of Mathematics
[2] Sun Yat-sen University,Department of Mathematics
来源：
Science China Mathematics | 2014年 / 57卷
关键词：
Hardy-Sobolev space; dual space; spectrum; 32A37; 47A10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, some properties of Hardy-Sobolev spaces are obtained. The multipliers on these spaces are defined, and our results show that the multiplier algebra is more complex than that on the classical Hardy spaces. In addition, the spectrum theorem is obtained for some special multiplier.
引用
收藏
页码：2361 / 2368
页数：7
相关论文
共 50 条
  • [31] On optimal recovery methods in Hardy-Sobolev spaces
    Osipenko, KY
    SBORNIK MATHEMATICS, 2001, 192 (1-2) : 225 - 244
  • [32] HARDY-SOBOLEV SPACES AND BESOV-SPACES WITH A FUNCTION PARAMETER
    COBOS, F
    FERNANDEZ, DL
    LECTURE NOTES IN MATHEMATICS, 1988, 1302 : 158 - 170
  • [33] On some bilinear problems on weighted Hardy-Sobolev spaces
    Cascante, C.
    Ortega, J. M.
    MATHEMATISCHE NACHRICHTEN, 2012, 285 (13) : 1616 - 1634
  • [34] WANDERING SUBSPACES OF THE HARDY-SOBOLEV SPACES OVER Dn
    Xiao, Jiesheng
    Cao, Guangfu
    ACTA MATHEMATICA SCIENTIA, 2016, 36 (05) : 1467 - 1473
  • [35] UNIFORM RATIONAL-APPROXIMATIONS AND HARDY-SOBOLEV SPACES
    PEKARSKII, AA
    MATHEMATICAL NOTES, 1994, 56 (3-4) : 1082 - 1088
  • [36] Spectral theory of multiplication operators on Hardy-Sobolev spaces
    Cao, Guangfu
    He, Li
    Zhu, Kehe
    JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 275 (05) : 1259 - 1279
  • [37] Hardy-Sobolev spaces associated with Hermite expansions and interpolation
    Huang, Jizheng
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 157 : 104 - 122
  • [38] Hilbertian Hardy-Sobolev spaces on a half-plane
    Gale, Jose E.
    Matache, Valentin
    Miana, Pedro J.
    Sanchez-Lajusticia, Luis
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 489 (01)
  • [39] Hardy and Hardy-Sobolev Spaces on Strongly Lipschitz Domains and Some Applications
    Chen, Xiaming
    Jiang, Renjin
    Yang, Dachun
    ANALYSIS AND GEOMETRY IN METRIC SPACES, 2016, 4 (01): : 336 - 362
  • [40] BOUNDARY-REGULARITY FOR HARMONIC HARDY-SOBOLEV SPACES
    BEATROUS, F
    BURBEA, J
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1989, 39 : 160 - 174
12345