Unique Factorization of Arithmetic Functions
Weak type inequalities for the maximal ergodic function and the maximal ergodic Hilbert transform in weighted spaces
Ergodic power functions for mean bounded, invertible, positive operators
Angles in metric and normed linear spaces
Weights for ergodic square functions
On the Pointwise Ergodic Theorem in
Weighted weak type inequalities for the ergodic maximal function and the pointwise ergodic theorem
Some weighted inequalities for general one-sided maximal operators
We characterize the pairs of weights on ℝ for which the operators are of weak type (p,q), or of restricted weak type (p,q), 1 ≤ p < q < ∞, between the Lebesgue spaces with the coresponding weights. The functions h and k are positive, h is defined on , while k is defined on . If , , 0 ≤ β ≤ α ≤ 1, we obtain the operator . For this operator, under the assumption 1/p - 1/q = α - β, we extend the weak type characterization to the case p = q and prove that in the case of equal weights and...
Indépendance conditionnelle dans le modèle statistique bayésien
An approach to fuzzy temporal reasoning in medicine.
In this work we propose an approach for the application of a fuzzy temporal constraint model to intelligent patient monitoring tasks. After analyzing the requirements of the domain, we describe the approach that was followed in order to represent temporal information and solve queries on temporal relations. These processes require the cooperation of a temporal specialist with the domain reasoning mechanisms. The integration solution presented here corresponds to a stage of the implementation of...
Quetelet: An approach of Probability Theory and Statistics.
Ergodic transforms associated to general averages
Jones and Rosenblatt started the study of an ergodic transform which is analogous to the martingale transform. In this paper we present a unified treatment of the ergodic transforms associated to positive groups induced by nonsingular flows and to general means which include the usual averages, Cesàro-α averages and Abel means. We prove the boundedness in , 1 < p < ∞, of the maximal ergodic transforms assuming that the semigroup is Cesàro bounded in . For p = 1 we find that the maximal ergodic...
Differential transforms of Cesàro averages in weighted spaces .
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