IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Weak-type boundedness of the Hardy-Littlewood maximal operator on weighted Lorentz spaces
Autor/es:
ELONA AGORA; JORGE ANTEZANA; MARÍA JESÚS CARRO
Revista:
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
Editorial:
BIRKHAUSER BOSTON INC
Referencias:
Año: 2016
ISSN:
1069-5869
Resumen:
The main goal of this paper is to provide a characterization of the weak-type boundedness of the Hardy-Littlewood maximal operator, M, on weighted Lorentz spaces Lambda^p_u(w), whenever p>1. This solves a problem left open in M. J. Carro, J. A. Raposo, and J. Soria, Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities, Mem. Amer. Math. Soc. 187 (2007), no. 877.Moreover, with this result, we complete the program of unifying the study of the boundedness of M on weighted Lebesgue spaces and classical Lorentz spaces, which was initiated in the aforementioned monograph.
