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2007 Discrete Radon transforms and applications to ergodic theory
Alexandru D. Ionescu, Elias M. Stein, Akos Magyar, Stephen Wainger
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Acta Math. 198(2): 231-298 (2007). DOI: 10.1007/s11511-007-0016-x

Abstract

We prove Lp boundedness of certain non-translation-invariant discrete maximal Radon transforms and discrete singular Radon transforms. We also prove maximal, pointwise, and Lp ergodic theorems for certain families of non-commuting operators.

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Alexandru D. Ionescu. Elias M. Stein. Akos Magyar. Stephen Wainger. "Discrete Radon transforms and applications to ergodic theory." Acta Math. 198 (2) 231 - 298, 2007. https://doi.org/10.1007/s11511-007-0016-x

Information

Received: 21 March 2006; Published: 2007
First available in Project Euclid: 31 January 2017

zbMATH: 1139.42002
MathSciNet: MR2318564
Digital Object Identifier: 10.1007/s11511-007-0016-x

Rights: 2007 © Institut Mittag-Leffler

Vol.198 • No. 2 • 2007
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