Is there a common way to check essential supremum?
Particularly, my problem is in figuring out how to demonstrate that the measure is zero.
2026-03-27 21:18:04.1774646284
Is there a common way to check essential supremum?
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Show that the measure of $\{x:|f(x)|>M\}$ is zero. In this case $\|f\|_\infty\le M$. Find the smallest such $M$.