Abstract
We show that the Lorentz space A1 (tu) 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. © 1996 American Mathematical Society.
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CITATION STYLE
APA
Carro, M. J., del Amo, A. G., & Soria, J. (1996). Weak-type weights and normable Lorentz spaces. Proceedings of the American Mathematical Society, 124(3), 849–857. https://doi.org/10.1090/s0002-9939-96-03214-5
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