Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
linear operators
|
| gptkbp:concerns |
L^p spaces
interpolation of operators |
| gptkbp:field |
functional analysis
|
| gptkbp:generalizes |
gptkb:Hadamard_three-lines_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riesz–Thorin theorem
|
| gptkbp:namedAfter |
gptkb:Gunnar_Thorin
gptkb:Marcel_Riesz |
| gptkbp:publicationYear |
1932
|
| gptkbp:publishedIn |
gptkb:Acta_Mathematica
|
| gptkbp:relatedTo |
gptkb:Hadamard_three-lines_theorem
gptkb:Marcinkiewicz_interpolation_theorem |
| gptkbp:state |
If a linear operator is bounded between two pairs of L^p spaces, then it is bounded between intermediate L^p spaces with interpolated norms.
|
| gptkbp:usedIn |
harmonic analysis
partial differential equations |
| gptkbp:bfsParent |
gptkb:Frigyes_Riesz
gptkb:Marcell_Riesz gptkb:Marcel_Riesz |
| gptkbp:bfsLayer |
5
|