Decomposition and Moser's lemma (Q700033)
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: Decomposition and Moser's lemma |
scientific article; zbMATH DE number 1808649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposition and Moser's lemma |
scientific article; zbMATH DE number 1808649 |
Statements
Decomposition and Moser's lemma (English)
0 references
6 February 2003
0 references
Let \[ Tg(t) = \int\limits^1_t g(u) \frac{du}{u}, \] where \(g \geq 0\) on \((0,1)\). Let \(1<p<\infty\). Then \[ \int^1_0 \exp (T g(t))^p dt \leq c_p \] for all \(g\) such that \(\int^1_0 g(u)^{p'} \frac{du}{u} \leq 1\). This is (an extended version of) Moser's famous lemma. The paper deals with various modifications of this assertion in Lebesgue spaces and in Lorentz spaces using decomposition techniques.
0 references
function spaces
0 references
Lorentz spaces
0 references
Moser lemma
0 references
0.7519235014915466
0 references
0.7504002451896667
0 references
0.747852087020874
0 references
