| Fecha: |
2003 |
| Resumen: |
Necessary conditions and sufficient conditions on weights u and w are given for the Fourier transform F to be bounded as a map between the Lorentz spaces Γq(w) and Λp(u). This may be viewed as a weighted extension of a result of Jodeit and Torchinsky on operators of type (1, ∞) and (2, 2). In the case 0 < p ≤ 2 = q, the necessary and sufficient conditions are equivalent and give a simple weight condition which is equivalent to F : Γ2(w) → Λp(u) and also to F : Γ2(w) → Γp(u). |
| Derechos: |
Tots els drets reservats.  |
| Lengua: |
Anglès |
| Documento: |
Article ; recerca ; Versió publicada |
| Materia: |
Fourier transform ;
Weights ;
Lorentz space |
| Publicado en: |
Publicacions matemàtiques, V. 47 N. 1 (2003) , p. 3-29, ISSN 2014-4350 |
visitante ::
identificación
