Weak-type weights and normable Lorentz spaces

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Title:	Weak-type weights and normable Lorentz spaces
Author:	Carro Rossell, María Jesús; García del Amo, Alejandro; Soria de Diego, F. Javier
Other authors:	Universitat de Barcelona
Abstract:	We 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.
Subject(s):	-Anàlisi de Fourier -Funcions de diverses variables -Espais funcionals -Fourier analysis in several variables -Linear function spaces and their duals
Rights:	(c) American Mathematical Society, 1996
Document type:	Article Article - Published version
Published by:	American Mathematical Society
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