Document type
ArticleVersion
Published versionPublication date
All rights reserved
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/7624
Weak-type weights and normable Lorentz spaces
Journal Title
Director/Tutor
Additional contribution
Journal ISSN
Volume Title
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.
Related resource
Subject (English)
Citation
Citation
CARRO ROSSELL, María Jesús, GARCÍA DEL AMO, Alejandro and SORIA DE DIEGO, F. Javier. Weak-type weights and normable Lorentz spaces. Proceedings of the American Mathematical Society. 1996. Vol. 124, num. 3, pags. 849-857. ISSN 1088-6826. [consulted: 11 of October of 2026]. Available at: https://hdl.handle.net/2445/7624