Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
function space
|
| gptkbp:characterizedBy |
maximal function
atomic decomposition area function |
| gptkbp:contains |
locally integrable functions
functions with integrable maximal function |
| gptkbp:definedIn |
ℝ^n
|
| gptkbp:generalizes |
L^1(ℝ^n)
|
| gptkbp:hasDual |
gptkb:BMO(ℝ^n)
|
| gptkbp:hasSubgroup |
tempered distributions
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hardy space H^1(ℝ^n)
|
| gptkbp:importantFor |
gptkb:Calderón–Zygmund_theory
boundary value problems singular integral operators |
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:G._H._Hardy
|
| gptkbp:normDefinedBy |
maximal function norm
|
| gptkbp:notation |
H^1(ℝ^n)
|
| gptkbp:relatedTo |
Hardy spaces on the unit disk
|
| gptkbp:usedIn |
Fourier analysis
harmonic analysis |
| gptkbp:bfsParent |
gptkb:BMO(ℝ^n)
|
| gptkbp:bfsLayer |
8
|