Home > Articles > Published articles > Orlicz spaces for which the Hardy-Littlewood maximal operator is bounded |
Date: | 1988 |
Abstract: | Let M be the Hardy-Littlewood maximal operator defined by [fórmula matemàtica inclosa a l'article] where the supremum is taken over all cubes Q containing x and IQI is the Lebesgue measure of Q. In this paper we characterize the Orlicz spaces L*ø, associated to N--functions ø, such that Mis bounded in L*ø. We prove that this boundedness is equivalent to the complementary N-function ψ of ø satisfying the Δ2-condition in [0,∞), that is, sups>o ψ (2s) / ψ (s) <∞. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Published in: | Publicacions matemàtiques, V. 32 n. 2 (1988) p. 261-266, ISSN 2014-4350 |
6 p, 158.4 KB |