Does there exist an integrable function $f\colon [0,1]\to \mathbb{R}_+$ such that for every $0\leq a < b\leq 1$ we have $\| \chi_{(a,b)} f\|_\infty = + \infty$?
2026-03-28 05:29:01.1774675741
Existence of a locally essentially unbounded integrable function
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