Hardy–Littlewood maximal theorem
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
locally integrable functions
|
| gptkbp:concerns |
L^p spaces
Lebesgue measure maximal function |
| gptkbp:field |
harmonic analysis
mathematical analysis |
| gptkbp:generalizes |
gptkb:Vitali_covering_lemma
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hardy–Littlewood maximal theorem
|
| gptkbp:implies |
gptkb:Lebesgue_differentiation_theorem
|
| gptkbp:namedAfter |
gptkb:G._H._Hardy
gptkb:J._E._Littlewood |
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:state |
The Hardy–Littlewood maximal operator is weak (1,1) and strong (p,p) for p > 1
|
| gptkbp:usedIn |
real analysis
singular integrals differentiation of integrals |
| gptkbp:yearProved |
1930s
|
| gptkbp:bfsParent |
gptkb:Hardy–Littlewood_theorem
|
| gptkbp:bfsLayer |
6
|