Hardy and Rellich-type inequalities for metrics defined by vector fields (Q1868136)
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: Hardy and Rellich-type inequalities for metrics defined by vector fields |
scientific article; zbMATH DE number 1901239
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hardy and Rellich-type inequalities for metrics defined by vector fields |
scientific article; zbMATH DE number 1901239 |
Statements
Hardy and Rellich-type inequalities for metrics defined by vector fields (English)
0 references
27 April 2003
0 references
The author considers a system of locally Lipschitz fields on a domain in \(\mathbb{R}^n\). It is assumed that the Lebesgue measure is doubling and a scaled \(L^1\)-Poincaré inequality holds. Non-local analogues of both Hardy and Sobolev-Okikiolu inequalities are obtained. Some applications are considered.
0 references
Hardy inequality
0 references
Rellich inequality
0 references
Sobolev-Okikiolu inequality
0 references
degenerate elliptic operators
0 references
