Young's inequality for convolutions
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
gptkb:Lebesgue_spaces
functions |
| gptkbp:field |
mathematical analysis
|
| gptkbp:generalizes |
gptkb:Minkowski's_inequality
|
| https://www.w3.org/2000/01/rdf-schema#label |
Young's inequality for convolutions
|
| gptkbp:namedAfter |
gptkb:William_Henry_Young
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_London_Mathematical_Society
|
| gptkbp:relatedTo |
gptkb:Lp_spaces
convolution |
| gptkbp:state |
The L^r norm of the convolution of two functions is bounded by the product of their L^p and L^q norms, under certain conditions on p, q, r.
|
| gptkbp:usedIn |
gptkb:probability_theory
harmonic analysis partial differential equations |
| gptkbp:year |
1912
|
| gptkbp:bfsParent |
gptkb:Hardy–Littlewood–Sobolev_inequality
|
| gptkbp:bfsLayer |
6
|