Cauchy Transform and Rectifiability in Clifford Analysis
Juan Bory Reyes
University of Oriente, Santiago De Cuba, CubaRicardo Abreu Blaya
University of Holguín, Cuba
![Cauchy Transform and Rectifiability in Clifford Analysis cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-24-issue-1.png&w=3840&q=90)
Abstract
\def\R{\mathbb R} Let be an -dimensional rectifiable Ahlfors-David regular surface in . Let be a continuous -valued function on , where is the Clifford algebra associated with . Then we prove that the Cliffordian Cauchy transform
has continuous limit values on if and only if the truncated integrals
converge uniformly on as .
Cite this article
Juan Bory Reyes, Ricardo Abreu Blaya, Cauchy Transform and Rectifiability in Clifford Analysis. Z. Anal. Anwend. 24 (2005), no. 1, pp. 167–178
DOI 10.4171/ZAA/1235