Simultaneous approximation in the Dirichlet space

被引:0
|
作者
Stray, A [1 ]
机构
[1] Univ Bergen, Dept Math, N-5008 Bergen, Norway
来源
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Some general problems in joint approximation, originally raised by Lee Rubel, are discussed. The emphasis is on spaces of analytic functions in the unit disc D. Besides giving a survey of known results for the Hardy spaces and the space H(D) consisting of all analytic functions in D, we announce some new results for the Dirichlet space D consisting of all analytic functions in D having finite Dirichlet integral.
引用
收藏
页码:307 / 319
页数:13
相关论文
共 50 条
  • [1] Simultaneous approximation in the Dirichlet space
    Stray, A
    MATHEMATICA SCANDINAVICA, 2001, 89 (02) : 268 - 282
  • [2] APPROXIMATION OF DIRICHLET PROBLEM ON A HALF SPACE
    SCHAEFFER, DG
    ACTA MATHEMATICA UPPSALA, 1972, 129 (3-4): : 281 - +
  • [3] APPROXIMATION OF THE DIRICHLET PROBLEM ON A HALF SPACE
    Schaeffer, David G.
    ACTA MATHEMATICA, 1972, 129 (01) : 281 - 295
  • [4] 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
  • [5] APPROXIMATION BY BOUNDED-FUNCTIONS IN THE DIRICHLET SPACE
    CHAN, KC
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1993, 47 : 341 - 348
  • [6] VALUES OF GENERAL DIRICHLET SERIES AND SIMULTANEOUS DIOPHANTINE APPROXIMATION
    Nagoshi, H.
    LITHUANIAN MATHEMATICAL JOURNAL, 2010, 50 (02) : 227 - 238
  • [7] Values of general dirichlet series and simultaneous diophantine approximation
    H. Nagoshi
    Lithuanian Mathematical Journal, 2010, 50 : 227 - 238
  • [8] Best simultaneous approximation in weighted space
    Auad, Alaa Adnan
    Hussein, Abdulsttar Ali
    1ST INTERNATIONAL SCIENTIFIC CONFERENCE ON PURE SCIENCE (ISCPS2019), 2019, 1234
  • [9] Approximation numbers of composition operators on a Hilbert space of Dirichlet series
    Queffelec, Herve
    INVARIANT SUBSPACES OF THE SHIFT OPERATOR, 2015, 638 : 1 - 19
  • [10] SIMULTANEOUS APPROXIMATION IN LEBESGUE SPACE WITH VARIABLE EXPONENT
    Israfilov, Daniyal M.
    Testici, Ahmet
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2018, 44 (01): : 3 - 18