期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2006
卷号：2006
DOI：10.1155/IJMMS/2006/98145
出版社：Hindawi Publishing Corporation
摘要：Two specific generalizations of the multidimensional Hilbert
transform in Clifford analysis are constructed. It is shown that
though in each of these generalizations some traditional
properties of the Hilbert transform are inevitably lost, new
bounded singular operators emerge on Hilbert or Sobolev spaces of
L2-functions.
