Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
function space
|
| gptkbp:contains |
gptkb:Lipschitz_class
|
| gptkbp:defines |
The Zygmund class consists of functions f on the real line such that |f(x+h) + f(x-h) - 2f(x)| ≤ C|h| for all x and h.
|
| gptkbp:field |
gptkb:mathematics
harmonic analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Zygmund class
|
| gptkbp:namedAfter |
gptkb:Antoni_Zygmund
|
| gptkbp:property |
Functions in the Zygmund class are uniformly continuous.
Zygmund class is strictly larger than the Lipschitz class. |
| gptkbp:relatedTo |
gptkb:Sobolev_spaces
gptkb:Hölder_spaces |
| gptkbp:bfsParent |
gptkb:Antoni_Zygmund
|
| gptkbp:bfsLayer |
5
|