Hypercontraction principle and random multilinear forms (Q1089980)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Hypercontraction principle and random multilinear forms |
scientific article; zbMATH DE number 4007316
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypercontraction principle and random multilinear forms |
scientific article; zbMATH DE number 4007316 |
Statements
Hypercontraction principle and random multilinear forms (English)
0 references
1988
0 references
We study Banach space valued random multilinear forms in independent real random variables extensively using the concept of hypercontractive maps between \(L^ q\)-spaces. We show that multilinear forms share with linear forms a lot of properties, like comparability of \(L^ p\)-, \(L^ 0\)- and almost sure convergence.
0 references
random multilinear forms
0 references
hypercontractive maps
0 references
comparison theorems
0 references
Marcinkiewicz-Paley-Zygmund condition
0 references
0 references
0 references
0.88917845
0 references
0.8808093
0 references
0.8791002
0 references
0.8782325
0 references
0.87406665
0 references
