Tuesday, 10 July 2018

real analysis - How to show |f|prightarrow|f|infty?







I was asked to show:



Assume |f|r< for some r<. Prove that |f|p|f|

as p.



I am stuck in the situation that |f|p< for all $r

Could fp be fluctuating while |f|=? I have proved that for $r

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