10-1 Takashi Ichinose and Yoshimi Sait\={o}

Dirac--Sobolev spaces and Sobolev spaces (68K, LaTex2e) Jan 1, 10

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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.

Files: 10-1.src( 10-1.comments , 10-1.keywords , FinalDiSospaces.tex )