Dirac-Sobolev Spaces and Sobolev Spaces

MR2730625 Takashi ICHINOSE and Yoshimi SAITŌ Takashi ICHINOSE and Yoshimi SAITŌ Dirac-Sobolev Spaces and Sobolev Spaces Funkcialaj Ekvacioj. Serio Internacia 53 2010 291--310 http://fe.math.kobe-u.ac.jp/FE/FullPapers/53-2/53_291.pdf http://www.ams.org/mathscinet-getitem?mr=MR2730625 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 $1< p <\infty$, they coincide, while for $p=1$, the latter spaces are proper subspaces of the former. Sobolev spaces, Dirac oprerator. 46E35, 46E40. 53-291 2010 Dirac-Sobolev Spaces and Sobolev Spaces Takashi ICHINOSE and Yoshimi SAITŌ Takashi ICHINOSE and Yoshimi SAITŌ 1 Adams, R.; Fournier, J. Sobolev Spaces 2nd edition, Academic Press 2003 MR2424078

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