Carro Rossell, María JesúsGarcía del Amo, AlejandroSoria de Diego, F. Javier2009-04-062009-04-0619961088-6826https://hdl.handle.net/2445/7624We show that the Lorentz space A1(w) is a Banach space if and only if the Hardy-Littlewood maximal operator M satisfies a certain weak-type estimate. We also consider the case of general measures. Finally, we study some properties of several indices associated to these spaces.10 p.application/pdfeng(c) American Mathematical Society, 1996Anàlisi de FourierFuncions de diverses variablesEspais funcionalsFourier analysis in several variablesLinear function spaces and their dualsinfo:eu-repo/semantics/article112146info:eu-repo/semantics/openAccess