RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS

被引：0

作者：

Jiang Le ^{[1
]}

Du Jinyuan ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 05期

关键词：

Riemann boundary value problem; harmonic function; bi-harmonic function; Plemelj formula; GROWTH;

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, we study the R-m (m > 0) Riemann boundary value problems for regular functions, harmonic functions and bi-harmonic functions with values in a universal clifford algebra C(V-n,V-n). By using Plemelj formula, we get the solutions of R-m (m > 0) Riemann boundary value problems for regular functions. Then transforming the Riemann boundary value problems for harmonic functions and bi-harmonic functions into the Riemann boundary value problems for regular functions, we obtain the solutions of R-m (m > 0) Riemann boundary value problems for harmonic functions and bi-harmonic functions.

引用

页码：2029 / 2049

页数：21

共 16 条

[1] [Anonymous], 1968, SINGULAR INTEGRAL EQ
[2] Bernstein S., 1996, Bull. Belg. Math. Soc. Simon Stevin, V3, P557
[3] Brack F., 1982, CLIFFORD ANAL
[4] On Cauchy estimates and growth orders of entire solutions of iterated Dirac and generalized Cauchy-Riemann equations
Constales, D.
De Almelda, R.
Krausshar, R. S.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2006, 29 (14) : 1663 - 1686
[5] de Almeida R, 2005, Z ANAL ANWEND, V24, P791
[6] ON REGULAR-ANALYTIC FUNCTIONS WITH VALUES IN A CLIFFORD ALGEBRA
DELANGHE, R
[J]. MATHEMATISCHE ANNALEN, 1970, 185 (02) : 91 - &
[7] Delanghe R., 1992, Clifford Algebra and Spinor-Valued Functions
[8] Du JY, 2009, ACTA MATH SCI, V29, P210
[9] Some Riemann boundary value problems in Clifford analysis
Guerlebeck, Klaus
Zhang, Zhongxiang
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (03) : 287 - 302
[10] BOUNDARY BEHAVIOR OF SOME INTEGRAL OPERATORS IN CLIFFORD ANALYSIS
Jiang, Le
Du, Jin-Yuan
[J]. BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS, 2011, : 244 - 253

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