Discretization and Anti-discretization of Rearrangement-invariant Norms
نویسنده
چکیده
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
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