Meaning of following notation

Question

I came across the following notation used for a function $f$: $$|f|_{L^\infty}$$

What does this notation denote?

score 2 · Accepted Answer · answered Apr 17 '18 at 22:45

2

It's the ess sup norm (short for "essential supremum"). It denotes $sup\{y|\mu\{x||f(x)|> y\}>0\}$

answered Apr 17 '18 at 22:45

C Monsour

1 Answers1