Invariant subspace for a singular integral operator on Ahlfors David surfaces

被引：0
|
作者：
Reyes, JB [1 ]
Blaya, RA
机构：
[1] Univ Oriente, Fac Sci, Dept Math, Santiago De Cuba 90500, Cuba
[2] Univ Holguin, Fac Math & Informat, Holguin 80100, Cuba
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2001年 / 8卷 / 04期
关键词：
quaternionic analysis; singular integral; Ahlfors David surfaces;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper the singular integral operator on Ahlfors-David surfaces is shown to have air invariant subspace of the generalized Holder continuous function space. We study the problem in the context of Quaternionic Analysis. Two equivalent norms on certain quaternionic monogenic functions subspace are treated.
引用
收藏
页码：673 / 683
页数：11
相关论文
共 50 条
  • [31] On the scaling limit of a singular integral operator
    Krichever, Igor M.
    Phong, Duong Hong
    GEOMETRIAE DEDICATA, 2008, 132 (01) : 121 - 134
  • [32] THE SINGULAR INTEGRAL OPERATOR WITH DISCONTINUITY COEFFICIENTS
    KARTZIVADZE, IN
    DOKLADY AKADEMII NAUK SSSR, 1956, 109 (03): : 450 - 452
  • [33] On the scaling limit of a singular integral operator
    Igor M. Krichever
    Duong Hong Phong
    Geometriae Dedicata, 2008, 132 : 121 - 134
  • [34] A singular integral operator with rough kernel
    Fan, DS
    Pan, YB
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (12) : 3695 - 3703
  • [35] THE BERGMAN PROJECTION AS A SINGULAR INTEGRAL OPERATOR
    MCNEAL, JD
    JOURNAL OF GEOMETRIC ANALYSIS, 1994, 4 (01) : 91 - 103
  • [36] ON THE KERNEL OF A SINGULAR INTEGRAL OPERATOR WITH SHIFT
    Marreiros, Rui C.
    OPERATORS AND MATRICES, 2017, 11 (04): : 1119 - 1139
  • [37] On the Invariant Subspaces of the Fractional Integral Operator
    Gurdal, Mehmet
    Nabiev, Anar Adiloglu
    Ayyildiz, Meral
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2021, 16 (02):
  • [38] A note of a rough singular integral operator
    Fan, DS
    Guo, KH
    Pan, YB
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 1999, 2 (01): : 73 - 81
  • [39] Lρ-boundedness of a singular integral operator
    Al-Hasan, AJ
    Fan, D
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1998, 41 (04): : 404 - 412
  • [40] Bergman projection as a singular integral operator
    McNeal, Jeffrey D.
    Journal of Geometric Analysis, 1994, 4 (01)
12345