Hostname: page-component-74656f9884-g96k6 Total loading time: 0 Render date: 2026-11-10T06:22:08.940Z Has data issue: false hasContentIssue false
  • English
  • Français

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: losert@ap.univie.ac.at)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

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.

Information

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