Singular measures with absolutely continuous convolution squares on locally compact groups
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- by Antonis Bisbas PDF
- Proc. Amer. Math. Soc. 127 (1999), 2865-2869 Request permission
Abstract:
Saeki’s result states that on any locally compact nondiscrete group there exist continuous singular measures, with respect to the left Haar measure, $\mu$ with $\mu * \mu$ in $L^{p}$ for all $p, \;1\leq p < \infty$. This paper gives a new and short proof of this using Rademacher-Riesz products.References
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Additional Information
- Antonis Bisbas
- Affiliation: Department of Mathematics, University of the Aegean, Karlovasi 83200, Samos, Greece
- Address at time of publication: Technological Education Institute of Kozani, School of Technological Applications, General Department, Kila 50100, Kozani, Greece
- Email: bisbas@kozani.teikoz.gr
- Received by editor(s): June 25, 1997
- Received by editor(s) in revised form: December 3, 1997
- Published electronically: April 23, 1999
- Communicated by: Christopher D. Sogge
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2865-2869
- MSC (1991): Primary 43A05
- DOI: https://doi.org/10.1090/S0002-9939-99-04827-3
- MathSciNet review: 1600100