Investigates weak-type boundedness of sparse operators, revealing the Bellman function and its implications.
We investigate weak-type $(1, 1)$ boundedness of sparse operators with respect to Lebesgue measure. Specifically, we find the Bellman function maximizing level sets of sparse operators (localized to an interval) and use this to find the exact weak-$(1,1)$ norm of these sparse operators.
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Fay et al. (2026) studied this question.
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