A connection between Fourier and Schur multipliers (Q1924285)
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: A connection between Fourier and Schur multipliers |
scientific article; zbMATH DE number 935123
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A connection between Fourier and Schur multipliers |
scientific article; zbMATH DE number 935123 |
Statements
A connection between Fourier and Schur multipliers (English)
0 references
27 May 1997
0 references
Let \(S_p\) denote the Schatten classes of compact operators in \(L_2(\mathbb{T})\). The author constructs a continuous function \(f: \mathbb{T}\to\mathbb{C}\) such that \(f\) is a Fourier multiplier in \(\ell_p\), \(1<p<\infty\), but \(\varphi(x,y)=f(x-y)\) is not a Schur multiplier in \(S_p\), \(p\neq 2\).
0 references
Schatten classes
0 references
Fourier multiplier
0 references
Schur multiplier
0 references
0.9524954
0 references
0.93853784
0 references
0.8845928
0 references
0.8840053
0 references
0 references
0.8826946
0 references
0.8787858
0 references
