Ergodic power functions for mean bounded, invertible, positive operators
F. Martín-Reyes, P. Ortega Salvador (1988)
Studia Mathematica
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Displaying similar documents to “An atomic theory of ergodic spaces”
Ergodic power functions for mean bounded, invertible, positive operators
Weak type inequalities for the maximal ergodic function and the maximal ergodic Hilbert transform in weighted spaces
E. Atencia, F. Martin-Reyes (1984)
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A dominated ergodic estimate for spaces with weights
E. Atencia, A. de la Torre (1982)
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On the ergodic power function for invertible positive operators
Ryotaro Sato (1988)
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Inequalities for the ergodic maximal function
Roger Jones (1977)
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On a ratio ergodic theorem
Ryotaro Sato (1987)
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On the mean ergodic theorem for Cesàro bounded operators
Yves Derriennic (2000)
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For a Cesàro bounded operator in a Hilbert space or a reflexive Banach space the mean ergodic theorem does not hold in general. We give an additional geometrical assumption which is sufficient to imply the validity of that theorem. Our result yields the mean ergodic theorem for positive Cesàro bounded operators in (1 < p < ∞). We do not use the tauberian theorem of Hardy and Littlewood, which was the main tool of previous authors. Some new examples, interesting for summability...
Weights for ergodic square functions
F. J. Martin-Reyes (1986)
Annales de l'I.H.P. Probabilités et statistiques
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A generalization of the Yosida-Kakutani ergodic theorem
Ezio Marchi, Felipe Zo (1981)
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An exponential estimate for convolution powers
Roger Jones (1999)
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We establish an exponential estimate for the relationship between the ergodic maximal function and the maximal operator associated with convolution powers of a probability measure.