caa a22 4500 38802416X CHVBK 20180307124932.0 cr unu---uuuuu 161130e199810 xx s 000 0 eng 10.1017/S001309150001991X doi S001309150001991X pii (NATIONALLICENCE)cambridge-10.1017/S001309150001991X Maximal operators and B.M.O. for Banach lattices [Elektronische Daten] We investigate the behaviour of the classical (non-smooth) Hardy-Littlewood maximal operator in the context of Banach lattices. We are mainly concerned with end-point results for p = ∞. Naturally, the main role is played by the space BMO. We analyze the range of the maximal operator in BMOx. This turns out to depend strongly on the convexity of the Banach lattice . We apply these results to study the behaviour of the commutators associated to the maximal operator. We also consider the parallel results for the maximal fractional integral operator. Copyright © Edinburgh Mathematical Society 1998 García-Cuerva J. Departamento de Matemáticas, C-XV, Universidad Autónoma, 28049, Madrid, Spain, E-mail addresses: jose.garcia-cuerva@uam.es joseluis.torrea@uam.es Macías R. A. Departamento de Matemáticas, C-XV, Universidad Autónoma, 28049, Madrid, Spain, E-mail addresses: jose.garcia-cuerva@uam.es joseluis.torrea@uam.es Torrea J. L. E-mail: macias@intec.unl.edu.ar Proceedings of the Edinburgh Mathematical Society Cambridge University Press 41/3(1998-10), 585-609 0013-0915 41:3<585 1998 41 PEM https://doi.org/10.1017/S001309150001991X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S001309150001991X text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- García-Cuerva J. Departamento de Matemáticas, C-XV, Universidad Autónoma, 28049, Madrid, Spain, E-mail addresses: jose.garcia-cuerva@uam.es joseluis.torrea@uam.es NATIONALLICENCE 700 1- Macías R. A. Departamento de Matemáticas, C-XV, Universidad Autónoma, 28049, Madrid, Spain, E-mail addresses: jose.garcia-cuerva@uam.es joseluis.torrea@uam.es NATIONALLICENCE 700 1- Torrea J. L. E-mail: macias@intec.unl.edu.ar NATIONALLICENCE 773 0- Proceedings of the Edinburgh Mathematical Society Cambridge University Press 41/3(1998-10), 585-609 0013-0915 41:3<585 1998 41 PEM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge