Characterization of the Analytic Weighted Besov Space in Terms of the Radial Differentiation Operators

被引:0
|
作者
Kodzoeva, F. D. [1 ]
机构
[1] Southern Fed Univ, Ul Bolshaya Sadovaya 195, Rostov Na Donu 344006, Russia
基金
俄罗斯基础研究基金会;
关键词
Mobius transform; hyperbolic Bergman metric; fractional differentiation operator;
D O I
10.3103/S1066369X08100095
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We characterize the functions of the weighted Besov space on the unit circle in the complex plane in terms of certain operators of fractional differentiation.
引用
收藏
页码:64 / 66
页数:3
相关论文
共 50 条
  • [21] Weighted differentiation composition operators from weighted bergman space to nth weighted space on the unit disk
    Zhang, Liang
    Zeng, Hong-Gang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011, : 1 - 10
  • [22] Isometric composition operators on the analytic Besov spaces
    Allen, Robert F.
    Heller, Katherine C.
    Pons, Matthew A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 414 (01) : 414 - 423
  • [23] Products of weighted composition operators and differentiation operators between Banach spaces of analytic functions
    Singh Manhas J.
    Zhao R.
    Acta Scientiarum Mathematicarum, 2014, 80 (3-4): : 665 - 679
  • [24] Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols
    Sun, Zhi Ling
    Lu, Yu Feng
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [25] Toeplitz operators on weighted Hardy and Besov spaces
    Cascante, Carme
    Fabrega, Joan
    Ortega, Joaquin M.
    MATHEMATISCHE ZEITSCHRIFT, 2009, 263 (04) : 787 - 812
  • [26] Toeplitz operators on weighted Hardy and Besov spaces
    Carme Cascante
    Joan Fàbrega
    Joaquin M. Ortega
    Mathematische Zeitschrift, 2009, 263 : 787 - 812
  • [27] Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space
    Li, Songxiao
    Stevic, Stevo
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (03): : 223 - 240
  • [28] Weighted differentiation composition operators from weighted bergman space to n th weighted space on the unit disk
    Liang Zhang
    Hong-Gang Zeng
    Journal of Inequalities and Applications, 2011
  • [29] Cyclicity of the adjoint of weighted composition operators on the hilbert space of analytic functions
    Zahra Kamali
    Bahram Khani Robati
    Karim Hedayatian
    Czechoslovak Mathematical Journal, 2011, 61 : 551 - 563
  • [30] CYCLICITY OF THE ADJOINT OF WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF ANALYTIC FUNCTIONS
    Kamali, Zahra
    Robati, Bahram Khani
    Hedayatian, Karim
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (02) : 551 - 563