Dirac–Sobolev Spaces and Sobolev Spaces

Autor: Yoshimi Saito, Takashi Ichinose
Rok vydání: 2010
Předmět:
Zdroj: Funkcialaj Ekvacioj. 53:291-310
ISSN: 0532-8721
DOI: 10.1619/fesi.53.291
Popis: The aim of this work is to study the first order Dirac-Sobolev spaces in Lp norm on an open subset of R3 to clarify its relationship with the corresponding Sobolev spaces. It is shown that for 1 < p < ∞, they coincide, while for p = 1, the latter spaces are proper subspaces of the former.
Databáze: OpenAIRE