Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
function space
|
| gptkbp:application |
gptkb:signal_processing
Fourier analysis operator theory |
| gptkbp:consistsOf |
holomorphic functions
|
| gptkbp:definedIn |
open unit disk
upper half-plane |
| gptkbp:field |
gptkb:mathematics
complex analysis functional analysis harmonic analysis |
| gptkbp:generalizes |
L^p spaces
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hardy spaces
|
| gptkbp:importantFor |
gptkb:Beurling's_theorem
gptkb:Fatou's_theorem Inner-outer factorization Riesz factorization theorem Boundary values exist almost everywhere (for p ≥ 1) |
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:G._H._Hardy
|
| gptkbp:notation |
H^p
|
| gptkbp:parameter |
p (real number, 0 < p < ∞)
|
| gptkbp:property |
functions with bounded mean oscillation (for p=1)
functions with bounded p-norm on circles or lines |
| gptkbp:relatedTo |
gptkb:BMO_space
gptkb:Bergman_space gptkb:Sobolev_space |
| gptkbp:usedIn |
control theory
complex dynamical systems prediction theory |
| gptkbp:bfsParent |
gptkb:G._H._Hardy
|
| gptkbp:bfsLayer |
5
|