Takashi Ichinose and Yoshimi Sait\={o}
Dirac--Sobolev spaces and Sobolev spaces
(68K, LaTex2e)

ABSTRACT.   The aim of this work is to study the first order Dirac-Sobolev spaces 
 in $L^p$ norm on an open subset of ${\mathbb R}^3$ to clarify its relationship 
 with the corresponding Sobolev spaces. It is shown that for 
to appera in Funkcialaj Ekvacioj. 2010$1< p <\infty$, 
 they coincide, while for $p=1$, the latter spaces are proper subspaces of the former.