Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
function space
|
| gptkbp:application |
operator theory
potential theory |
| gptkbp:basisFor |
orthonormal basis exists
|
| gptkbp:contains |
holomorphic functions
|
| gptkbp:defines |
the space of all square-integrable holomorphic functions on a domain
|
| gptkbp:dimensions |
infinite-dimensional (for most domains)
|
| gptkbp:domain |
gptkb:complex_plane
|
| gptkbp:exampleDomain |
gptkb:unit_disk
upper half-plane |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bergman space
|
| gptkbp:integralCondition |
integral over domain of |f(z)|^2 is finite
|
| gptkbp:namedAfter |
gptkb:Stefan_Bergman
|
| gptkbp:notation |
A^2(D)
|
| gptkbp:property |
gptkb:Hilbert_space
|
| gptkbp:relatedConcept |
gptkb:Bergman_kernel
|
| gptkbp:relatedTo |
gptkb:Hardy_space
reproducing kernel |
| gptkbp:bfsParent |
gptkb:Hardy_spaces
gptkb:reproducing_kernel_Hilbert_space gptkb:Stefan_Bergman |
| gptkbp:bfsLayer |
6
|