Dirac--Sobolev Spaces and Sobolev Spaces

2010/01/02 by Takashi Ichinose, Ichinose, Takashi, Yoshimi Saitō +1
Mathematics · #Advanced Harmonic Analysis Research #Spectral Theory in Mathematical Physics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1001.0275

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 R³ to clarify its relationship with the corresponding Sobolev spaces. It is shown that for 1< p

Citations

• Hp spaces of several variables

Related

• The Dirac-Hardy and Dirac-Sobolev inequalities in L¹
• A new characterization of Sobolev spaces on ℝⁿ
• Some particular norm in the Sobolev space H¹[a,b].
• Sobolev W¹_p-spaces on closed subsets of Rⁿ
• Metric Sobolev spaces I: equivalence of definitions