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Funkcialaj Ekvacioj
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Funkcialaj Ekvacioj
Article . 2010 . Peer-reviewed
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https://dx.doi.org/10.1619/fes...
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Dirac–Sobolev Spaces and Sobolev Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 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, Copyright policy )
Authors: Takashi Ichinose; Yoshimi Saito;

doi: 10.1619/fesi.53.291

Dirac–Sobolev Spaces and Sobolev Spaces

Abstract

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average