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@SamuelGWalters A counter-example to show the reverse implication does not hold: The traveling #squarewave f_n = χ_[n, n+1] converges pointwise to zero, but it has norm 1 for all p, so it diverges in the L^p norm.
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Mark Arjomandi
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@360unfiltered
College Math and Physics Instructor. Twitter Focus: Science, Economics, Politics, Sports, History. Retweet ≠ Accord

























