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

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DOI

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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     title = {The {Individual} {Weighted} {Ergodic} {Theorem} for {Bounded} {Besicovitch} {Sequences}},
     journal = {Canadian mathematical bulletin},
     pages = {468--471},
     year = {1982},
     volume = {25},
     number = {4},
     doi = {10.4153/CMB-1982-067-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-067-6/}
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