Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Lp_spaces
|
| gptkbp:concerns |
interpolation of linear operators
|
| gptkbp:field |
functional analysis
mathematical analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Riesz-Thorin theorem
|
| gptkbp:namedAfter |
gptkb:Gunnar_Thorin
gptkb:Marcel_Riesz |
| gptkbp:publicationYear |
1939
|
| gptkbp:relatedTo |
gptkb:Hadamard_three-lines_theorem
gptkb:Marcinkiewicz_interpolation_theorem |
| gptkbp:state |
If a linear operator is bounded between two pairs of Lp spaces, then it is bounded between intermediate Lp spaces with a bound that interpolates logarithmically.
|
| gptkbp:usedIn |
Fourier analysis
harmonic analysis operator theory |
| gptkbp:bfsParent |
gptkb:Stein_interpolation_theorem
|
| gptkbp:bfsLayer |
5
|