Density of \(C_ 0^{\infty}({\mathbb{R}}^ N)\) in generalized Besov space \(B^{k,\Phi}({\mathbb{R}}^ N)\) (Q1089579)
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: Density of \(C_ 0^{\infty}({\mathbb{R}}^ N)\) in generalized Besov space \(B^{k,\Phi}({\mathbb{R}}^ N)\) |
scientific article; zbMATH DE number 4004923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Density of \(C_ 0^{\infty}({\mathbb{R}}^ N)\) in generalized Besov space \(B^{k,\Phi}({\mathbb{R}}^ N)\) |
scientific article; zbMATH DE number 4004923 |
Statements
Density of \(C_ 0^{\infty}({\mathbb{R}}^ N)\) in generalized Besov space \(B^{k,\Phi}({\mathbb{R}}^ N)\) (English)
0 references
1986
0 references
The problem of density of \(C_ 0^{\infty}({\mathbb{R}}^ N)\) in the generalized Besov space \(B^{k,\Phi}({\mathbb{R}}^ N)\) is investigated. The positive result holds for a class of functions \(\Phi\) with parameter of the form \(\Phi (t,u)=\phi (p(t)u)\), where p is a function of the parameter t possessing some additional properties and \(\phi\) is a \(\phi\)- function without parameter.
0 references
Orlicz space
0 references
generalized Besov space
0 references
