Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:function_space
|
| gptkbp:characterizedBy |
boundary values in L^p
|
| gptkbp:contains |
holomorphic functions
|
| gptkbp:definedIn |
gptkb:unit_disk
upper half-plane |
| gptkbp:generalizes |
Hardy space H^2
|
| gptkbp:importantFor |
complex analysis
harmonic analysis |
| gptkbp:namedAfter |
gptkb:G._H._Hardy
|
| gptkbp:normDefinedBy |
supremum of L^p norms on circles
|
| gptkbp:parameter |
p
|
| gptkbp:property |
Banach space for p 5
Hilbert space for p=2 |
| gptkbp:range |
0 < p
|
| gptkbp:relatedTo |
gptkb:Bergman_space
Lebesgue space L^p |
| gptkbp:usedIn |
gptkb:signal_processing
Fourier analysis control theory operator theory |
| gptkbp:bfsParent |
gptkb:Hardy_space_H^1
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hardy space H^p
|