Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Lebesgue integrable functions
|
| gptkbp:concerns |
convergence of functions
limits of integrals |
| gptkbp:field |
mathematical analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Brezis–Lieb lemma
|
| gptkbp:namedAfter |
gptkb:Elliott_H._Lieb
gptkb:Haïm_Brezis |
| gptkbp:publishedIn |
gptkb:Communications_in_Mathematical_Physics
|
| gptkbp:sentence |
If (f_n) is a sequence in L^p converging almost everywhere to f, then the limit of the difference of the L^p norms equals the L^p norm of the difference.
|
| gptkbp:usedIn |
calculus of variations
functional analysis |
| gptkbp:yearProposed |
1983
|
| gptkbp:bfsParent |
gptkb:Haïm_Brezis
|
| gptkbp:bfsLayer |
5
|