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
  • [1] Hardy-Sobolev spaces and their multipliers
    Cao GuangFu
    He Li
    SCIENCE CHINA-MATHEMATICS, 2014, 57 (11) : 2361 - 2368
  • [2] Hardy-Sobolev spaces and their multipliers
    CAO GuangFu
    HE Li
    ScienceChina(Mathematics), 2014, 57 (11) : 2361 - 2368
  • [3] Fredholmness of multipliers on Hardy-Sobolev spaces
    Cao, Guangfu
    He, Li
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 418 (01) : 1 - 10
  • [4] COMPOSITION OPERATORS ON HARDY-SOBOLEV SPACES
    He, Li
    Cao, Guang Fu
    He, Zhong Hua
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (03) : 255 - 267
  • [5] Composition operators on Hardy-Sobolev spaces
    Li He
    Guang Fu Cao
    Zhong Hua He
    Indian Journal of Pure and Applied Mathematics, 2015, 46 : 255 - 267
  • [6] Atomic decomposition on Hardy-Sobolev spaces
    Cho, Yong-Kum
    Kim, Joonil
    STUDIA MATHEMATICA, 2006, 177 (01) : 25 - 42
  • [7] Toeplitz operators on Hardy-Sobolev spaces
    Cao, Guangfu
    He, Li
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 479 (02) : 2165 - 2195
  • [8] Spectral theory of multiplication operators on Hardy-Sobolev spaces
    Cao, Guangfu
    He, Li
    Zhu, Kehe
    JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 275 (05) : 1259 - 1279
  • [9] Hardy-Sobolev Spaces Decomposition in Signal Analysis
    Dang, Pei
    Qian, Tao
    You, Zhong
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2011, 17 (01) : 36 - 64
  • [10] Hardy-Sobolev Spaces Decomposition in Signal Analysis
    Pei Dang
    Tao Qian
    Zhong You
    Journal of Fourier Analysis and Applications, 2011, 17 : 36 - 64
12345