Weak-type weights and normable Lorentz spaces

Marı́a J. Carro, Alejandro García del Amo, Javier Soria

Type: Article

Publication Date: 1996-01-01

Citations: 74

DOI: https://doi.org/10.1090/s0002-9939-96-03214-5

Abstract

We show that the Lorentz space $\Lambda ^1(w)$ 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.

Locations

Proceedings of the American Mathematical Society - View - PDF
Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona) - View - PDF

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