Ergodic results for certain contractions on orlicz spaces with fixed points
Gallardo Gómez, Diego (Universidad de Málaga. Departamento de Matemática Aplicada)

Date:	1989
Abstract:	Let (X, M,ų) be a σ-finite measure space, Lø - Lø (X, M, ų) an Orlicz space associated to an N-function ø and let T : Lø→Lø be a linear operator with a fixed point h ≠ 0 a. e . , such that [fórmula matemàtica inclosa a l'article] and it is either a II 1 -contraction in Lø ∩ L1 or a II II∞ . -contraction in Lø ∩ L∞ The main result of this paper is that for a wide class of N functions ø 0, the ergodic maximal operator associated to T is bounded in L ø. Moreover, for every f € L ø we have the almost everywhere convergence and the norm convergente of certain weighted averages which include the Césàro averages.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Publicacions matemàtiques, V. 33 n. 1 (1989) p. 3-15, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37567
DOI: 10.5565/PUBLMAT_33189_01

13 p, 354.6 KB

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