Norms of composition operators on weighted Hardy spaces

被引：0
|
作者：
Eva A. Gallardo-Gutiérrez
Jonathan R. Partington
机构：
[1] Universidad Complutense de Madrid,Departamento de Análisis Matemático, Facultad de Ciencias Matemáticas
[2] University of Leeds,School of Mathematics
来源：
Israel Journal of Mathematics | 2013年 / 196卷
关键词：
Unit Disc; Hardy Space; Composition Operator; Bergman Space; Numerical Range;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The norm of a bounded composition operator induced by a disc automorphism is estimated on weighted Hardy spaces H2(β) in which the classical Hardy space is continuously embedded. The estimate obtained is accurate in the sense that it provides the exact norm for particular instances of the sequence β. As a by-product of our results, an estimate for the norm of any bounded composition operator on H2(β) is obtained.
引用
收藏
页码：273 / 283
页数：10
相关论文
共 50 条
  • [1] Norms of composition operators on weighted Hardy spaces
    Gallardo-Gutierrez, Eva A.
    Partington, Jonathan R.
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2013, 196 (01) : 273 - 283
  • [2] NORMS OF HYPONORMAL WEIGHTED COMPOSITION OPERATORS ON THE HARDY AND WEIGHTED BERGMAN SPACES
    Fatehi, Mahsa
    Shaabani, Mahmood Haji
    [J]. OPERATORS AND MATRICES, 2018, 12 (04): : 997 - 1007
  • [3] Norms of multiplication operators on Hardy spaces and weighted composition operators from Hardy spaces to weighted-type spaces on bounded symmetric domains
    Stevic, Stevo
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (06) : 2870 - 2876
  • [4] Weighted Composition Operators on Weighted Hardy Spaces
    Gupta, Anuradha
    Gupta, Bhawna
    [J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2019, 19 (03) : 519 - 540
  • [5] Weighted Composition Operators on Weighted Hardy Spaces
    Anuradha Gupta
    Bhawna Gupta
    [J]. Computational Methods and Function Theory, 2019, 19 : 519 - 540
  • [6] Weighted composition operators on Hardy spaces
    Contreras, MD
    Hernández-Díaz, AG
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (01) : 224 - 233
  • [7] Weighted composition operators on Hardy spaces
    Stylogiannis, Georgios
    [J]. ACTA SCIENTIARUM MATHEMATICARUM, 2012, 78 (1-2): : 213 - 239
  • [8] COMPOSITION OPERATORS ON WEIGHTED HARDY SPACES
    Al-Rawashdeh, Waleed
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2014, 44 (04) : 1053 - 1072
  • [9] Weighted composition operators on Hardy spaces
    Georgios Stylogiannis
    [J]. Acta Scientiarum Mathematicarum, 2012, 78 (1-2): : 213 - 239
  • [10] GENERALIZED WEIGHTED COMPOSITION OPERATORS ON WEIGHTED HARDY SPACES
    Hu, Lian
    Li, Songxiao
    Yang, Rong
    [J]. OPERATORS AND MATRICES, 2023, 17 (04): : 1109 - 1124
12345