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
  • [41] Weighted variable Hardy spaces on domains
    Melkemi, Oussama
    Saibi, Khedoudj
    Mokhtari, Zouhir
    ADVANCES IN OPERATOR THEORY, 2021, 6 (03)
  • [42] Structure of Weighted Hardy Spaces in the Plane
    Gogus, Nihat Gokhan
    FILOMAT, 2016, 30 (02) : 473 - 482
  • [43] Composition operators on noncommutative Hardy spaces
    Popescu, Gelu
    JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 260 (03) : 906 - 958
  • [44] Weighted variable anisotropic Hardy spaces
    He, Yao
    ANALYSIS AND MATHEMATICAL PHYSICS, 2024, 14 (06)
  • [45] Atomic decomposition of vector Hardy spaces
    Perez-Esteva, Salvador
    Ocarnpo-Salgado, Hugo
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (02) : 408 - 422
  • [46] Dual spaces of weak martingale Hardy–Lorentz–Karamata spaces
    K. Liu
    D. Zhou
    Acta Mathematica Hungarica, 2017, 151 : 50 - 68
  • [47] Hardy spaces with variable exponents on RD-spaces and applications
    Zhuo, Ciqiang
    Sawano, Yoshihiro
    Yang, Dachun
    DISSERTATIONES MATHEMATICAE, 2016, (520) : 1 - 74
  • [48] CHARACTERISTIC FUNCTIONS AS BOUNDED MULTIPLIERS ON ANISOTROPIC SPACES
    Baladi, Viviane
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (10) : 4405 - 4420
  • [49] On the boundedness of generalized Cesaro operators on Sobolev spaces
    Lizama, Carlos
    Miana, Pedro J.
    Ponce, Rodrigo
    Sanchez-Lajusticia, Luis
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (01) : 373 - 394
  • [50] Anisotropic Holder and Sobolev spaces for hyperbolic diffeomorphisms
    Baladi, Viviane
    Tsujii, Masato
    ANNALES DE L INSTITUT FOURIER, 2007, 57 (01) : 127 - 154
12345