Divergent Square Averages

arxiv: math/0504067 · v2 · submitted 2005-04-05 · 🧮 math.DS · math.CA

Zoltan Buczolich (Eotvos Lorand University , Budapest , Hungary) , R. Daniel Mauldin (University of North Texas , Denton , TX) This is my paper

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keywords answeraveragesbourgaindivergentquestionsequencesquareuniversally

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We answer a question of J. Bourgain. We show that the sequence n^2 is L^1-universally bad.

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