The Characterizations of Distances from Bloch Functions to Some Mobius Invariant Spaces by High Order Derivatives

被引:1
|
作者
Sun, Yu [1 ]
Liu, Bin [2 ]
Liu, Jinlin [1 ]
机构
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225001, Jiangsu, Peoples R China
[2] Univ Eastern Finland, POB 111, Joensuu 80101, Finland
基金
中国国家自然科学基金;
关键词
Distance; composition operator; Bloch function; Mobius invariant space; High order derivatives; COMPOSITION OPERATORS; DIFFERENTIATION; ALPHA;
D O I
10.2298/FIL2201141S
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We characterized the distances from Bloch functions to some Mobius invariant spaces by high order derivatives. Moreover, the boundedness and compactness of the products of composition and differentiation operators from the Bloch space to the closure of some Mobius invariant spaces are characterized.
引用
收藏
页码:141 / 150
页数:10
相关论文
共 50 条
  • [1] Distances from Bloch functions to some Mobius invariant spaces
    Zhao, Ruhan
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2008, 33 (01) : 303 - 313
  • [2] Distances from Bloch functions to some Mobius invariant function spaces in the unit ball of Cn
    Xu, Wen
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2009, 7 (01): : 91 - 104
  • [3] Some characterizations in some Mobius invariant spaces
    Ahmed, A. El-Sayed
    Kamal, A.
    Ahmadi, Aydah
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (01) : 126 - 132
  • [4] On univalent functions in some Mobius invariant spaces
    Donaire, JJ
    Girela, D
    Vukotic, D
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2002, 553 : 43 - 72
  • [5] COMPOSITION OPERATORS AND CLOSURES OF SOME MOBIUS INVARIANT SPACES IN THE BLOCH SPACE
    Aulaskari, Rauno
    Zhao, Ruhan
    MATHEMATICA SCANDINAVICA, 2010, 107 (01) : 139 - 149
  • [6] Mobius invariant gradient and little α-Bloch functions
    Zhuo, WX
    Ouyang, CH
    ACTA MATHEMATICA SCIENTIA, 2002, 22 (03) : 295 - 301
  • [7] Some Characterizations of Bloch Functions
    Guanghua He
    AnalysisinTheoryandApplications, 2018, 34 (03) : 225 - 231
  • [8] SOME NEW CHARACTERIZATIONS OF BLOCH SPACES
    Li, Songxiao
    Wulan, Hasi
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (06): : 2245 - 2259
  • [9] Distances from Bloch Functions to Q K -Type Spaces
    Lou, Zengjian
    Chen, Wufu
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2010, 67 (02) : 171 - 181
  • [10] Distances from Bloch Functions to QK-Type Spaces
    Zengjian Lou
    Wufu Chen
    Integral Equations and Operator Theory, 2010, 67 : 171 - 181