Dirac–Sobolev Spaces and Sobolev Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2010Embargo end date: 01 Jan 2010 English Publisher:Division of Functional Equations, The Mathematical Society of Japan (JST)Journal:Funkcialaj Ekvacioj, volume 53, pages 291-310 (issn: 0532-8721,

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Authors: Ichinose, Takashi; Saito, Yoshimi;

doi: 10.1619/fesi.53.291 , 10.48550/arxiv.1001.0275

arXiv: 1001.0275

Dirac–Sobolev Spaces and Sobolev Spaces

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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 $1< p

to appear in Funkcialaj Ekvacioj, 2010

Related Organizations

Kanazawa University
Japan
University of Alabama at Birmingham
United States

Keywords

Dirac oprerator, Mathematics - Analysis of PDEs, 46E40, Sobolev spaces, FOS: Mathematics, 46E35, 46E35; 46E40, Analysis of PDEs (math.AP)

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