TY - JOUR
T1 - The Plemelj-Privalov theorem in Clifford analysis
AU - Abreu Blaya, Ricardo
AU - Bory Reyes, Juan
AU - Moreno García, Tania
PY - 2009/3
Y1 - 2009/3
N2 - This Note gives geometric conditions on a surface of Rn so that the Hilbert transform on that surface in the framework of Clifford analysis defines a bounded operator in the Hölder continuous functions classes. This result provides a generalization of the well-known theorem of Plemelj and Privalov for curves in R2. To cite this article: R. Abreu Blaya et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009).
AB - This Note gives geometric conditions on a surface of Rn so that the Hilbert transform on that surface in the framework of Clifford analysis defines a bounded operator in the Hölder continuous functions classes. This result provides a generalization of the well-known theorem of Plemelj and Privalov for curves in R2. To cite this article: R. Abreu Blaya et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009).
UR - http://www.scopus.com/inward/record.url?scp=61649120550&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2009.01.029
DO - 10.1016/j.crma.2009.01.029
M3 - Artículo
SN - 1631-073X
VL - 347
SP - 223
EP - 226
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 5-6
ER -