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Orlicz spaces for which the Hardy-Littlewood maximal operator is bounded
Gallardo Gómez, Diego (Universidad de Málaga. Departamento de Matemática Aplicada)

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

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37563
DOI: 10.5565/PUBLMAT_32288_09


6 p, 158.4 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles

 Record created 2009-04-23, last modified 2022-07-15



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