Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
function space |
| gptkbp:alsoKnownAs |
gptkb:L^p_space
|
| gptkbp:contains |
measurable functions
|
| gptkbp:definedIn |
integrability condition
|
| gptkbp:generalizes |
gptkb:sequence_space_l^p
gptkb:Hilbert_space_(for_p=2) |
| gptkbp:hasSpecialCase |
gptkb:L^∞_space
gptkb:L^1_space gptkb:L^2_space |
| https://www.w3.org/2000/01/rdf-schema#label |
Lebesgue space
|
| gptkbp:isBanachSpace |
true
|
| gptkbp:namedAfter |
gptkb:Henri_Lebesgue
|
| gptkbp:normDefinedBy |
p-norm
|
| gptkbp:notation |
gptkb:L^p(X,_μ)
L^p |
| gptkbp:numberOfIssues |
true
|
| gptkbp:parameter |
measure space
p |
| gptkbp:usedIn |
functional analysis
measure theory |
| gptkbp:bfsParent |
gptkb:L^p_space
gptkb:l^p_space |
| gptkbp:bfsLayer |
5
|