Hardy spaces of solutions of generalized Riesz and Moisil-Teodorescu systems

被引:2
作者
Brackx, F. [1 ]
Delanghe, R. [1 ]
De Schepper, H. [1 ]
机构
[1] Univ Ghent, Fac Engn & Architecture, Clifford Res Grp, Dept Math Anal, B-9000 Ghent, Belgium
关键词
Hardy spaces; Riesz systems; Moisil-Teodorescu systems; HARMONIC-FUNCTIONS; HILBERT TRANSFORM;
D O I
10.1080/17476933.2011.609930
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Hardy spaces of solutions of generalized Riesz and generalized Moisil-Teodorescu systems in half space Rm+1, and of their non-tangential L-2-boundary values in R-m are characterized in this article.
引用
收藏
页码:771 / 785
页数:15
相关论文
共 40 条
  • [1] Bernstein S., 2002, INT J MATH MATH SCI, V29, P613, DOI [DOI 10.1155/S0161171202011870, 10.1155/S0161171202011870]
  • [2] BLAYA RA, 2008, INT J MATH MATH SCI, DOI DOI 10.1155/2008/746946
  • [3] On the Structure of Solutions of the Moisil-Theodoresco System in Euclidean Space
    Bory Reyes, Juan
    Delanghe, Richard
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2009, 19 (01) : 15 - 28
  • [4] Hilbert-Dirac operators in Clifford analysis
    Brackx, F
    de Schepper, H
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2005, 26 (01) : 1 - 14
  • [5] Brackx F, 2009, TRENDS MATH, P11
  • [6] BRACKX F, 1992, FUND THEOR, V47, P177
  • [7] Brackx F., 1982, RES NOTES MATH
  • [8] BRACKX F, 2005, CUBO, V7, P139
  • [9] Brackx F., 2006, COMPLEX VAR ELLIPTIC, V51, P453
  • [10] On conjugate harmonic functions in Euclidean space
    Brackx, FF
    Delanghe, R
    Sommen, FC
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2002, 25 (16-18) : 1553 - 1562