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.
Citation
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
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