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| Home > Articles > Published articles > Discretization and anti-discretization of rearrangement-invariant norms |
| Date: | 2003 |
| Abstract: | We develop a new method of discretization and anti-discretization of weighted inequalities which we apply to norms in classical Lorentz spaces and to spaces endowed with the so-called Hilbert norm. Main applications of our results include new integral conditions characterizing embeddings Γp(v) → Γq(w) and Γp(v) → Λq(w) and an integral characterization of the associate space to Γp(v), where p, q ∈ (0, ∞), v, w are weights on [0, ∞) and fΛp(v) = ∞ 0 f∗(t) pv(t) dt1/p, fΓp(v) = ∞ 0 f∗∗(t) pv(t) dt1/p. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Discretizing sequence ; Hilbert norm ; Classical Lorentz space ; Duality theorems |
| Published in: | Publicacions matemàtiques, V. 47 N. 2 (2003) , p. 311-358, ISSN 2014-4350 |
