Multipliers on Dirichlet Type Spaces

被引：0
|
作者：
Peng Yan HU Department of Mathematics. Normal College of Shenzhen University. Shenzhen. Guangdong 518060. P. R. China Ji Huai SHI Department of Mathematics. University of Science and Technology of China. Hefei. Anhui 230026
机构：
来源：
ActaMathematicaSinica(EnglishSeries) | 2001年 / 17卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Dirichlet; space; Pointwise multiplier; Holomorphic function;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper, we characterize the pointwise multiplier space M(D, D) of Dirichlet typespaces in the unit ball of C~n for the values of τ, μ in three cases: (i)τ<0, μ<0, (ii)τ<μ,(iii) τ≥μ,τ>n. and construct two functions to show that M(D)Dproperly if τ≤n andM(D)M(D) properly if τ>μ and τ>n-1.
引用
收藏
页码：263 / 272
页数：10
相关论文
共 50 条
  • [31] MULTIPLIERS OF DIRICHLET-TYPE SUBSPACES OF BLOCH SPACE
    Li, Songxiao
    Lou, Zengjian
    Shen, Conghui
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (02) : 429 - 441
  • [32] Littlewood-type theorems for random Dirichlet multipliers
    Cheng, Guozheng
    Fang, Xiang
    Liu, Chao
    Lu, Yufeng
    JOURNAL OF FUNCTIONAL ANALYSIS, 2025, 288 (12)
  • [33] Superposition operators, Hardy spaces, and Dirichlet type spaces
    Galanopoulos, Petros
    Girela, Daniel
    Marquez, Maria Auxiliadora
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 463 (02) : 659 - 680
  • [34] Univalent functions, Hardy spaces and spaces of Dirichlet type
    Baernstein, A
    Girela, D
    Peláez, JA
    ILLINOIS JOURNAL OF MATHEMATICS, 2004, 48 (03) : 837 - 859
  • [35] Carleson Measures for Spaces of Dirichlet Type
    Daniel Girela
    José Ángel Peláez
    Integral Equations and Operator Theory, 2006, 55 : 415 - 427
  • [36] lp-Type Dirichlet Spaces
    Gerlach-Mena, P. J.
    Muller, J.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (03)
  • [37] Embedding Theorems for Dirichlet Type Spaces
    Li, Songxiao
    Liu, Junming
    Yuan, Cheng
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2020, 63 (01): : 106 - 117
  • [38] Mobius invariant Dirichlet type spaces
    Bao, Guanlong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (02) : 1359 - 1372
  • [39] Carleson measures for spaces of Dirichlet type
    Girela, Daniel
    Pelaez, Jose Angel
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 55 (03) : 415 - 427
  • [40] Inner function in Dirichlet type spaces
    Qian, Ruishen
    Shi, Yecheng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 421 (02) : 1844 - 1854
12345