# Dirac-Sobolev Spaces and Sobolev Spaces - Mathematics > Analysis of PDEs

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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 relationshipwith 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 theformer.

Autor: Takashi Ichinose, Yoshimi Saitō

Fuente: https://arxiv.org/