Approximation numbers of composition operators on H-p

被引:3
|
作者
Li, Daniel
Queffelec, Herve
Rodriguez-Piazza, Luis
机构
[1] Univ Lille Nord de France, U-Artois, Laboratoire de Mathématiques de Lens EA 2462, Fédération CNRS Nord-Pas-de-Calais FR 2956, Faculté des Sciences Jean Perrin, Rue Jean Souvraz, S.P. 18, Lens
[2] Univ Lille Nord de France, USTL, Laboratoire Paul Painlevé, U.M.R. CNRS 8524, Fédération CNRS Nord-Pasde-Calais FR 2956, Villeneuve d'Ascq Cedex
[3] Universidad de Sevilla, Facultad de Matemáticas, Departamento de Análisis Matemático, IMUS, Apartado de Correos 1160, Sevilla
来源
CONCRETE OPERATORS | 2015年 / 2卷 / 01期
关键词
approximation numbers; Blaschke product; composition operator; Hardy space; interpolation sequence;
D O I
10.1515/conop-2015-0005
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 <= p < infinity.
引用
收藏
页码:98 / 109
页数:12
相关论文
共 50 条
  • [1] POLYNOMIAL APPROXIMATION OF H-P AND H-P FUNCTIONS
    CHUI, CKT
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (01): : 146 - &
  • [2] Local spectral theory for invertible composition operators on H-p
    Smith, RC
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 1996, 25 (03) : 329 - 335
  • [3] On approximation numbers of composition operators
    Li, Daniel
    Queffelec, Herve
    Rodriguez-Piazza, Luis
    JOURNAL OF APPROXIMATION THEORY, 2012, 164 (04) : 431 - 459
  • [4] Pluricapacity and approximation numbers of composition operators
    Li, Daniel
    Queffelec, Herve
    Rodriguez-Piazza, Luis
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 474 (02) : 1576 - 1600
  • [5] Approximation and entropy numbers of composition operators
    Li, Daniel
    Queffelec, Herve
    Rodriguez-Piazza, Luis
    CONCRETE OPERATORS, 2020, 7 (01): : 166 - 179
  • [6] Approximation numbers of weighted composition operators
    Lechner, G.
    Li, D.
    Queffelec, H.
    Rodriguez-Piazza, L.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 274 (07) : 1928 - 1958
  • [7] BEHAVIOR OF POLYNOMIALS OF BEST H-P APPROXIMATION
    MOSKOVA, MP
    SAFF, EB
    INDAGATIONES MATHEMATICAE-NEW SERIES, 1995, 6 (01): : 105 - 119
  • [8] DECAY RATES FOR APPROXIMATION NUMBERS OF COMPOSITION OPERATORS
    Queffelec, Herve
    Seip, Kristian
    JOURNAL D ANALYSE MATHEMATIQUE, 2015, 125 : 371 - 399
  • [9] Decay rates for approximation numbers of composition operators
    Hervé Queffélec
    Kristian Seip
    Journal d'Analyse Mathématique, 2015, 125 : 371 - 399
  • [10] Approximation numbers of composition operators on the Dirichlet space
    Lefevre, Pascal
    Li, Daniel
    Queffelec, Herv
    Rodriguez-Piazza, Luis
    ARKIV FOR MATEMATIK, 2015, 53 (01): : 155 - 175