Geodesic
The Individual Weighted Ergodic Theorem for Bounded Besicovitch Sequences
Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 468-471

Voir la notice de l'article provenant de la source Cambridge University Press

Let (X, , μ) be a σ-finite measure space, p fixed, 1 < p < ∞, T a linear operator of L p(X,μ), {αi } a sequence of complex numbers. If exists and is finite a.e. we say the individual weighted ergodic theorem holds for T with the weights {αi }In this paper we show that if {αi } is a bounded Besicovitch sequence and T is a Dunford-Schwartz operator (i.e.: ||T||1≤1, ||T||∞≤1) then the individual weighted ergodic theorem holds for T with the weights {αi }.
DOI : 10.4153/CMB-1982-067-6
Mots-clés : 47A35, 28A65 
Olsen, James H. The Individual Weighted Ergodic Theorem for Bounded Besicovitch Sequences. Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 468-471. doi: 10.4153/CMB-1982-067-6
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