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The strong sweeping out property for convolution powers

Published online by Cambridge University Press:  26 March 2001

V. LOSERT
V. LOSERT
Affiliation:
Institut für Mathematik der Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria (e-mail: [email protected])
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Abstract

Pointwise convergence a.e. of \mu^k f has been studied by Bellow, Jones and Rosenblatt. We answer two of their questions: the strong sweeping out property holds (in this case) iff the measure \mu has unbounded angular ratio and the stability is equivalent to the bounded angular ratio.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 1 , February 2001 , pp. 115 - 119
Copyright
© 2001 Cambridge University Press

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