Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes

El Houcein El Abdalaoui

Type: Preprint

Publication Date: 2019-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.1908.02281

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+ PDF Chat	Pointwise ergodic theorems for non-conventional bilinear polynomial averages	2022	Ben Krause Mariusz Mirek Terence Tao
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+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg
+ PDF Chat	Pointwise convergence of the ergodic bilinear Hilbert transform	2007	Ciprian Demeter
+	Probability with martingales	1992	David N. Williams
+	Ergodic theorems with arithmetical weights	2014	Christophe Cuny Michel Weber
+ PDF Chat	Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem	2006	Michaël Keane Karl Petersen
+	An introduction to infinite ergodic theory	1997	Jon Aaronson
+	On the Convergence of Fourier Series	1935	J. Marcinkiewicz
+ PDF Chat	A proof of boundedness of the Carleson operator	2000	Michael T. Lacey Christoph Thiele
+	A simple proof of some ergodic theorems	1982	Yitzhak Katznelson Benjamin Weiss
+	Oscillation in ergodic theory	1998	R. W. L. Jones Robert Kaufman Joseph Rosenblatt Μáté Wierdl