Function theory in real Hardy spaces

被引:2
作者
Raghupathi, Mrinal [1 ]
Singh, Dinesh [2 ]
机构
[1] Univ Houston, Dept Math, Houston, TX 77204 USA
[2] Univ Delhi, Dept Math, Delhi 110007, India
关键词
Real Hardy spaces; invariant subspaces; Nevanlinna-Pick interpolation; INVARIANT SUBSPACES; ALGEBRA;
D O I
10.1002/mana.200810111
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that many classical results in Hardy space theory have exact analogues when the Fourier coefficients are restricted to be real. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码:920 / 930
页数:11
相关论文
共 16 条
  • [1] CLASS OF SUBNORMAL OPERATORS RELATED TO MULTIPLY-CONNECTED DOMAINS
    ABRAHAMSE, MB
    DOUGLAS, RG
    [J]. ADVANCES IN MATHEMATICS, 1976, 19 (01) : 106 - 148
  • [2] A Constrained Nevanlinna-Pick Interpolation Problem
    Davidson, Kenneth R.
    Paulsen, Vern I.
    Raghupathi, Mrinal
    Singh, Dinesh
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2009, 58 (02) : 709 - 732
  • [3] INVARIANT SUBSPACES OF CONTINUOUS FUNCTIONS
    HASUMI, M
    SRINIVAS.TP
    [J]. CANADIAN JOURNAL OF MATHEMATICS, 1965, 17 (04): : 643 - &
  • [4] Helson H., 1995, HARMONIC ANAL
  • [5] HELSON H, 1975, ALGEBRAS ANAL, P1
  • [6] Hoffman K., 1988, BANACH SPACES ANAL F
  • [7] Jupiter D, 2006, HOUSTON J MATH, V32, P1133
  • [8] MEHANNA AAW, 1987, ALIGARH B MATH, V12, P45
  • [9] Tolokonnikov's Lemma for Real H∞ and the Real Disc Algebra
    Mikkola, Kalle
    Sasane, Amol
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2007, 1 (03) : 439 - 446
  • [10] MORTINI R, J REINE ANG IN PRESS