Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
function space
|
| gptkbp:application |
Fourier analysis
control theory operator theory |
| gptkbp:consistsOf |
holomorphic functions
|
| gptkbp:definedIn |
open unit disk
upper half-plane |
| gptkbp:field |
gptkb:mathematics
complex analysis harmonic analysis |
| gptkbp:hasSpecialCase |
gptkb:H^2_space
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hardy space
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:G._H._Hardy
|
| gptkbp:notation |
H^p
|
| gptkbp:parameter |
p
|
| gptkbp:property |
functions are analytic
functions have boundary values almost everywhere functions have bounded mean oscillation for p=1 |
| gptkbp:range |
0 < p < ∞
|
| gptkbp:relatedTo |
gptkb:L^p_space
|
| gptkbp:bfsParent |
gptkb:G._H._Hardy
|
| gptkbp:bfsLayer |
5
|