The rearrangement inequality for the ergodic maximal function.
Ephremidze, L. (2001)
Georgian Mathematical Journal
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Ephremidze, L. (2001)
Georgian Mathematical Journal
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Ephremidze, L. (1995)
Georgian Mathematical Journal
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Ryotaro Sato (2006)
Commentationes Mathematicae Universitatis Carolinae
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Using the ratio ergodic theorem for a measure preserving transformation in a -finite measure space we give a straightforward proof of Derriennic’s reverse maximal inequality for the supremum of ergodic ratios.
Gogoladze, L. (2000)
Georgian Mathematical Journal
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Jack R. Porter, Robert M., Jr. Stephenson, Grant R. Woods (1994)
Commentationes Mathematicae Universitatis Carolinae
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Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal pseudocompact. Various techniques for constructing maximal pseudocompact spaces are described. Maximal pseudocompactness is compared to maximal feeble compactness.
Mariusz Lemańczyk (1995)
Commentationes Mathematicae Universitatis Carolinae
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Analytic cocycles of type over an irrational rotation are constructed and an example of that type is given, where all corresponding special flows are weakly mixing.