A Martinelli-Bochner formula on fractal domains

被引：0
|
作者：
Ricardo Abreu-Blaya
Juan Bory-Reyes
机构：
[1] Universidad de Holguín,Facultad de Informática y Matemática
[2] Universidad de Oriente,Departamento de Matemáticas
来源：
Archiv der Mathematik | 2009年 / 92卷
关键词：
Primary 30G35, 32A26; Secondary 28A80; Clifford analysis; Martinelli-Bochner formula; fractals;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new perspective on a Cauchy integral formula for Clifford algebras valued functions on domains with quite smooth boundaries was discussed in [5]. On the other hand, the Cauchy transform associated to Clifford analysis has been involved recently with fractional metric dimensions and fractals, see [1, 2, 3].
引用
收藏
页码：335 / 343
页数：8
相关论文
共 50 条
  • [1] A Martinelli-Bochner formula on fractal domains
    Abreu-Blaya, Ricardo
    Bory-Reyes, Juan
    ARCHIV DER MATHEMATIK, 2009, 92 (04) : 335 - 343
  • [2] A LOCAL MARTINELLI-BOCHNER FORMULA ON HYPERSURFACES
    FISCHER, B
    LEITERER, J
    MATHEMATISCHE ZEITSCHRIFT, 1993, 214 (04) : 659 - 681
  • [3] Martinelli-Bochner formula using Clifford analysis
    Frank Sommen
    Dixan Peña Peña
    Archiv der Mathematik, 2007, 88 : 358 - 363
  • [4] A Martinelli-Bochner formula for the Hermitian Dirac equation
    Sommen, Frank
    Pena-Pena, Dixan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2007, 30 (09) : 1049 - 1055
  • [5] Martinelli-Bochner formula using Clifford analysis
    Sommen, Frank
    Pena, Dixan Pena
    ARCHIV DER MATHEMATIK, 2007, 88 (04) : 358 - 363
  • [6] On Generalization of Martinelli-Bochner Integral Formula Using Clifford Analysis
    Ku Min
    Du Jinyuan
    Wang Daoshun
    Advances in Applied Clifford Algebras, 2010, 20 : 351 - 366
  • [7] ON PRINCIPLE VALUES OF MARTINELLI-BOCHNER INTEGRAL IN STRICTLY PSEUDOCONVEX DOMAINS
    Katsunova, A. S.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2010, 7 : 132 - 139
  • [8] MARTINELLI-BOCHNER SINGULAR INTEGRAL
    PRENOV, BB
    TARKHANOV, NN
    SIBERIAN MATHEMATICAL JOURNAL, 1992, 33 (02) : 355 - 359
  • [9] MARTINELLI-BOCHNER INTEGRAL FORMULA AND PHRAGMEN-LINDELOF PRINCIPLE
    IARMUKHAMEDOV, S
    DOKLADY AKADEMII NAUK SSSR, 1978, 243 (06): : 1414 - 1417
  • [10] On Generalization of Martinelli-Bochner Integral Formula Using Clifford Analysis
    Ku Min
    Du Jinyuan
    Wang Daoshun
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2010, 20 (02) : 351 - 366
12345