scholarly journals Dynamics via measurability

2006 ◽  
Vol 2006 ◽  
pp. 1-15
Author(s):  
Svetlana Butler ◽  
Joseph Rosenblatt
Keyword(s):  
Quantitative Methods ◽  
Ergodic Averages ◽  
Measurable Transformation

Generatorsfforσ-algebras can be used to view the dynamics of an invertible measurable transformationTin terms of the range values off∘T. Such generators are the norm rather than the exception. Related measurable and quantitative methods of estimating a function from the behavior of ergodic averages are also discussed.

scholarly journals On the almost everywhere convergence of the ergodic averages

1990 ◽  
Vol 10 (1) ◽  
pp. 141-149
Author(s):  
F. J. Martín-Reyes ◽  
A. De La Torre
Keyword(s):  
Measure Space ◽  
Uniform Boundedness ◽  
Finite Measure ◽  
Necessary And Sufficient Condition ◽  
Ergodic Averages ◽  
Measurable Transformation ◽  
Almost Everywhere ◽  
Finite Measure Space ◽  
Finite Invariant Measure ◽  
Necessary And Sufficient

AbstractLet (X, ν) be a finite measure space and let T: X → X be a measurable transformation. In this paper we prove that the averages converge a.e. for every f in Lp(dν), 1 < p < ∞, if and only if there exists a measure γ equivalent to ν such that the averages apply uniformly Lp(dν) into weak-Lp(dγ). As a corollary, we get that uniform boundedness of the averages in Lp(dν) implies a.e. convergence of the averages (a result recently obtained by Assani). In order to do this, we first study measures v equivalent to a finite invariant measure μ, and we prove that supn≥0An(dν/dμ)−1/(p−1) a.e. is a necessary and sufficient condition for the averages to converge a.e. for every f in Lp(dν).

Weighted inequalities for Cesàro maximal operators in Orlicz spaces

2005 ◽  
Vol 135 (6) ◽  
pp. 1287-1308 ◽  
Author(s):  
Pedro Ortega Salvador ◽  
Consuelo Ramírez Torreblanca
Keyword(s):  
Orlicz Space ◽  
Integral Inequality ◽  
Orlicz Spaces ◽  
Sufficient Conditions ◽  
Maximal Operators ◽  
Weighted Inequalities ◽  
Ergodic Averages ◽  
Measurable Transformation ◽  
Integrable Functions ◽  
Image Position

Let 0 < α ≤ 1 and let M+α be the Cesàro maximal operator of order α defined by In this work we characterize the pairs of measurable, positive and locally integrable functions (u, v) for which there exists a constant C > 0 such that the inequality holds for all λ > 0 and every f in the Orlicz space LΦ(v). We also characterize the measurable, positive and locally integrable functions w such that the integral inequality holds for every f ∈ LΦ(w). The discrete versions of this results allow us, by techniques of transference, to prove weighted inequalities for the Cesàro maximal ergodic operator associated with an invertible measurable transformation, T, which preserves the measure.Finally, we give sufficient conditions on w for the convergence of the sequence of Cesàro-α ergodic averages for all functions in the weighted Orlicz space LΦ(w).

Quantitative Methods in Clinical Electroencephalography and Evoked Potentials

1985 ◽  
Vol 30 (10) ◽  
pp. 796-797
Author(s):  
Barry S. Oken ◽  
Keith Chiappa
Keyword(s):  
Evoked Potentials ◽  
Quantitative Methods

Efek dari Pemberitaan CCTV Lalu Lintas Terhadap Sikap Disiplin Berlalu Lintas

2018 ◽  
Vol 1 (2) ◽  
pp. 116-137
Author(s):  
Redi Panuju ◽  
Shintya Oktaviany Aury
Keyword(s):  
Mass Communication ◽  
Quantitative Methods ◽  
Communication Theory ◽  
Hypodermic Needle ◽  
Urban Village ◽  
Underlying Theory ◽  
Traffic Regulation ◽  
The Press ◽  
Traffic Violations ◽  
The Way

Abstract Dishub Surabaya and traffic Unit Polrestabes Surabaya partners  do speeding tickets through CCTV to reduce traffic violations in traffic and prevent accidents frequently happened. For the socialization of the press role is required so that residents will know  this new traffic regulation. The way of the spread CCTV by the way to traffic gridlock around the continuously to be done in make the community become disciplined in the traffic signs and regulations. The underlying theory is a theory of mass communication, theory of hypodermic needle theory, S-O-R theory, discipline theory, theories of adolescence. The methodology that was used this research is quantitative methods with type of correlational quantitative. In this research that are samples are teenagers klampis semalang 96 respondents. From the results of statistics done shows that significantly is the cctv news traffic to discipline attitude traffic in teenagers Klampis Semalang Urban village Klampis Ngasem in Sukolilo Surabaya city. Keywords : news, cctv traffic, discipline traffic

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