Convexity, concavity, type and cotype of Lorentz spaces
The purpose of this article is to present necessary and sufficient conditions on convexity and concavity, lower and upper estimates and type and cotype of weighted Lorentz spaces Ap,w with 1 ≤ p < ∞ and a decreasing weight w.
Kamińska, A., Maligranda, L., & Persson, L. (1998). Convexity, concavity, type and cotype of Lorentz spaces. Indagationes Mathematicae, 9 (3), 367-382. https://doi.org/10.1016/S0019-3577(98)80006-2