The Plemelj-Privalov theorem in Clifford analysis

被引：7

作者：

Abreu Blaya, Ricardo ^{[1
]}

Bory Reyes, Juan ^{[2
]}

Moreno Garcia, Tania ^{[1
]}

机构：

[1] Univ Holguin, Fac Informat & Matemat, Holguin 80100, Cuba

[2] Univ Oriente, Dept Matemat, Santiago De Cuba 90500, Cuba

来源：

COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 5-6期

关键词：

D O I：

10.1016/j.crma.2009.01.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This Note gives geometric conditions on a surface of R-n so that the Hilbert transform oil that surface in the framework of Clifford analysis defines a bounded operator in the Holder Continuous functions classes. This result provides a generalization of the well-known theorem of Plemelj and Privalov for curves in R-2. To cite this article: R. Abreu Blaya et al., C R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：223 / 226

页数：4

共 50 条

[31] THE GAUSS–GREEN THEOREM IN CLIFFORD ANALYSIS AND ITS APPLICATIONS
罗纬宇
杜金元
Acta Mathematica Scientia(English Series), 2015, 35 (01) : 235 - 254
[32] The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis
Brackx, F.
De Schepper, H.
Lavicka, R.
Soucek, V.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 649 - 660
[33] Factorisations of the Helmholtz Operator, Rad's Theorem, and Clifford Analysis
Gonzalez-Flores, C.
Zeron, E. S.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2011, 21 (01) : 89 - 101
[34] THE CAUCHY-KOVALEVSKAYA EXTENSION THEOREM IN DISCRETE CLIFFORD ANALYSIS
De Ridder, Hilde
De Schepper, Hennie
Sommen, Frank
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (04) : 1097 - 1109
[35] The Cauchy-Kovalevskaya Extension Theorem in Discrete Clifford Analysis
De Ridder, H.
De Schepper, H.
Sommen, F.
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1468 - 1471
[36] Factorisations of the Helmholtz Operator, Radó’s Theorem, and Clifford Analysis
C. Gonzalez–Flores
E. S. Zeron
Advances in Applied Clifford Algebras, 2011, 21 : 89 - 101
[37] Three balls theorem for eigenfunctions of Dirac operator in Clifford analysis
Mai, Weixiong
Ou, Jianyu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 526 (02)
[38] Cauchy-Kovalevskaya Extension Theorem in Fractional Clifford Analysis
Vieira, N.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (05) : 1089 - 1109
[39] Clifford分析中无界域上Isotonic函数的Plemelj公式
鄢盛勇
数学的实践与认识, 2018, 48 (19) : 246 - 252
[40] The Paley-Wiener Theorem in Rn with the Clifford analysis setting
Kou, KI
Qian, T
JOURNAL OF FUNCTIONAL ANALYSIS, 2002, 189 (01) : 227 - 241

← 1 2 3 4 5 →