Boza, SantiagoKřepela, MartinSoria de Diego, Francisco Javier2026-02-092026-02-09202610.1016/j.jmaa.2026.130469https://hdl.handle.net/20.500.14352/131938We study rearrangement-invariant spaces X over [0, ∞) for which there exists a function h : (0, ∞) → (0, ∞) such that ∥Drf∥X = h(r)∥f∥X for all f ∈ X and all r > 0, where Dr is the dilation operator. It is shown that this may hold only if h(r) = r− 1 p for all r > 0, in which case the norm ∥·∥X is called p-homogeneous. We investigate which types of r.i. spaces satisfy this condition and show some important embedding properties.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/journal articlehttps://doi.org/10.1016/j.jmaa.2026.130469open accessRearrangement-invariant spacesDilationHomogeneityOrlicz–Lorentz spacesCiencias12 Matemáticas1202 Análisis y Análisis Funcional