Hardy–Littlewood maximal inequality
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
functions on Euclidean space
|
| gptkbp:concerns |
gptkb:Lebesgue_spaces
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 inequality
|
| gptkbp:namedAfter |
gptkb:G._H._Hardy
gptkb:J._E._Littlewood |
| gptkbp:publishedIn |
1920s
|
| gptkbp:state |
the Hardy–Littlewood maximal operator is weak-type (1,1)
the Hardy–Littlewood maximal operator is bounded on L^p for p > 1 |
| gptkbp:usedIn |
differentiation theory
real analysis singular integrals |
| gptkbp:bfsParent |
gptkb:Hardy–Littlewood_inequality
|
| gptkbp:bfsLayer |
6
|