Note on Gagliardo's theorem " tr $W^{1,1}=L^1$" - Archive ouverte HAL Access content directly
Journal Articles Annals of the University of Bucharest. Mathematical series Year : 2015

Note on Gagliardo's theorem " tr $W^{1,1}=L^1$"

Abstract

We present a short proof of the fact, originally established by Gagliardo, that every function $f\in L^1({\mathbb R}^n)$ is the trace of a function $u\in W^{1,1}({\mathbb R}^n\times (0,\infty))$.

Keywords

Fichier principal
Vignette du fichier
short_gagliardo_20150205.pdf (99.7 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01131162 , version 1 (13-03-2015)

Identifiers

  • HAL Id : hal-01131162 , version 1

Cite

Petru Mironescu. Note on Gagliardo's theorem " tr $W^{1,1}=L^1$". Annals of the University of Bucharest. Mathematical series, 2015, 6 (LXIV) (1), pp.99--103. ⟨hal-01131162⟩
537 View
938 Download

Share

Gmail Facebook X LinkedIn More