Ergodic theory and connections with analysis and probability.
Jones, Roger L. (1997)
The New York Journal of Mathematics [electronic only]
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Jones, Roger L. (1997)
The New York Journal of Mathematics [electronic only]
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Idris Assani, Zoltán Buczolich, Daniel R. Mauldin (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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Jean Bourgain, Harry Furstenberg, Yitzhak Katznelson, Donald S. Ornstein (1989)
Publications Mathématiques de l'IHÉS
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C. Ryll-Nardzewski (1951)
Studia Mathematica
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Ryotaro Sato (1995)
Studia Mathematica
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Let (X,ℱ,µ) be a finite measure space and τ a null preserving transformation on (X,ℱ,µ). Functions in Lorentz spaces L(p,q) associated with the measure μ are considered for pointwise ergodic theorems. Necessary and sufficient conditions are given in order that for any f in L(p,q) the ergodic average converges almost everywhere to a function f* in , where (pq) and are assumed to be in the set . Results due to C. Ryll-Nardzewski, S. Gładysz, and I. Assani and J. Woś are generalized...
Paul Alton Hagelstein (2004)
Fundamenta Mathematicae
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It is shown that if two functions share the same uncentered (two-sided) ergodic maximal function, then they are equal almost everywhere.
Paweł Głowacki (1981)
Studia Mathematica
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Lasha Ephremidze (2002)
Fundamenta Mathematicae
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It is proved that the ergodic maximal operator is one-to-one.
Burgess Davis (1982)
Studia Mathematica
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Hugo Aimar (1985)
Studia Mathematica
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