On inequalities of Hardy-Sobolev type
| Autor: | Dirk Hundertmark, William Desmond Evans, Roger T. Lewis, Alexander Balinsky |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Ledoux's inequality
Discrete mathematics Mathematics::Functional Analysis Pure mathematics Young's inequality Algebra and Number Theory Semigroup Operator (physics) Mathematics::Analysis of PDEs Hardy's inequality Poincaré inequality Type (model theory) heat semigroup Sobolev inequality Sobolev space symbols.namesake 35K05 symbols 46E35 Sobolev's inequality Analysis Mathematics |
| Zdroj: | Banach J. Math. Anal. 2, no. 2 (2008), 94-106 |
| ISSN: | 1735-8787 |
| Popis: | Hardy-Sobolev-type inequalities associated with the operator $L:=\textbf{{x}} \cdot \nabla $ are established, using an improvement to the Sobolev embedding theorem obtained by M. Ledoux. The analysis involves the determination of the operator semigroup $\{e^{-tL^{*}L}\}_{0\neq t \geq 0}.$ |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|