Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
function space
|
| gptkbp:alsoKnownAs |
gptkb:C^{k,α}_spaces
|
| gptkbp:characterizedBy |
gptkb:Hölder_continuity
|
| gptkbp:contains |
functions with k derivatives and α-Hölder continuous k-th derivative
|
| gptkbp:definedIn |
domain Ω
|
| gptkbp:generalizes |
gptkb:Lipschitz_spaces
|
| gptkbp:hasSubgroup |
continuous functions
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hölder spaces
|
| gptkbp:importantFor |
gptkb:Schauder_estimates
regularity theory |
| gptkbp:namedAfter |
gptkb:Otto_Hölder
|
| gptkbp:norm |
gptkb:Hölder_norm
|
| gptkbp:notation |
C^{k,α}(Ω)
|
| gptkbp:parameter |
k (integer order of derivatives)
α (Hölder exponent, 0 < α ≤ 1) |
| gptkbp:relatedTo |
gptkb:Besov_spaces
gptkb:Sobolev_spaces |
| gptkbp:topology |
gptkb:Hilbert_space
|
| gptkbp:usedFor |
embedding theorems
regularity of elliptic and parabolic PDEs studying smoothness of solutions |
| gptkbp:usedIn |
analysis
functional analysis partial differential equations |
| gptkbp:bfsParent |
gptkb:Zygmund_class
|
| gptkbp:bfsLayer |
6
|