Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Lp_spaces
|
| gptkbp:concerns |
gptkb:Fourier_multipliers
|
| gptkbp:condition |
The derivatives of m up to order [n/2]+1 are bounded.
|
| gptkbp:field |
Fourier analysis
harmonic analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Mikhlin multiplier theorem
|
| gptkbp:namedAfter |
gptkb:Solomon_Mikhlin
|
| gptkbp:publishedIn |
1930s
|
| gptkbp:state |
A bounded measurable function m on R^n is a Fourier multiplier on Lp(R^n) for 1 < p < ∞ if m satisfies certain smoothness conditions.
|
| gptkbp:usedIn |
analysis of partial differential equations
|
| gptkbp:bfsParent |
gptkb:Marcinkiewicz_multiplier_theorem
|
| gptkbp:bfsLayer |
7
|