On the uniqueness of the ergodic maximal function
Lasha Ephremidze (2002)
Fundamenta Mathematicae
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It is proved that the ergodic maximal operator is one-to-one.
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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Lasha Ephremidze, Ryotaro Sato (2005)
Colloquium Mathematicae
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A weighted ergodic maximal equality is proved for a conservative and ergodic semiflow of nonsingular automorphisms.
Donald S. Ornstein (1975)
Publications mathématiques et informatique de Rennes
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Nishishiraho, Toshihiko (1998)
Journal of Convex Analysis
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A. Al-Hussaini (1974)
Annales Polonici Mathematici
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Zbigniew S. Kowalski (1984)
Colloquium Mathematicae
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Yves Derriennic (2010)
Colloquium Mathematicae
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The aim of this short note is to present in terse style the meaning and consequences of the "filling scheme" approach for a probability measure preserving transformation. A cohomological equation encapsulates the argument. We complete and simplify Woś' study (1986) of the reversibility of the ergodic limits when integrability is not assumed. We give short and unified proofs of well known results about the behaviour of ergodic averages, like Kesten's lemma (1975). The strikingly simple...
Roland Zweimüller (2004)
Colloquium Mathematicae
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We present a very quick and easy proof of the classical Stepanov-Hopf ratio ergodic theorem, deriving it from Birkhoff's ergodic theorem by a simple inducing argument.
Janusz Woś (1987)
Colloquium Mathematicae
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Lasha Ephremidze (2002)
Revista Matemática Complutense
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The uniqueness theorem for the ergodic maximal operator is proved in the continous case.
Idris Assani, Zoltán Buczolich, Daniel R. Mauldin (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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J. Woś (1987)
Colloquium Mathematicae
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Paweł Głowacki (1981)
Studia Mathematica
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S. Doplicher, D. Kastler (1968)
Recherche Coopérative sur Programme n°25
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Hugo Aimar (1985)
Studia Mathematica
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